Interior Angle Of A Heptagon #4 1 Do Now: Calculate The Measure Of An Interior Angle And A Central Angle Of A Regular Heptagon.

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Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

Angle

an•gle1  (anggəl),USA pronunciation n., v.,  -gled, -gling. 
n. 
  1. [Geom.]
    • the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.
    • the figure so formed.
    • the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or in degrees, minutes, and seconds, as in 12° 10prime;
      30ʺ, which is read as 12 degrees, 10 minutes, and 30 seconds.
  2. an angular projection;
    a projecting corner: the angles of a building.
  3. a viewpoint;
    standpoint: He looked at the problem only from his own angle.
    • slant (def. 11).
    • the point of view from which copy is written, esp. when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle.
  4. one aspect of an event, problem, subject, etc.: The accountant emphasized the tax angle of the leasing arrangement.
  5. [Motion Pictures, Photog.]See  angle shot. 
  6. [Informal.]a secret motive: She's been too friendly lately—what's her angle?
  7. any of the four interceptions of the equatorial circle by the two basic axes, the horizon and the meridian: commonly identified by the compass directions.
  8. See  angle iron (def. 2).
  9. [Slang.]play the angles, to use every available means to reach one's goal: A second-rate talent can survive only by playing all the angles.

v.t. 
  1. to move or bend in an angle.
  2. to set, fix, direct, or adjust at an angle: to angle a spotlight.
  3. to write or edit in such a way as to appeal to a particular audience;
    slant: She angled her column toward teenagers.

v.i. 
  1. to turn sharply in a different direction: The road angles to the right.
  2. to move or go in angles or at an angle: The trout angled downstream.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Heptagon

hep•ta•gon (heptə gon′),USA pronunciation n. 
  1. a polygon having seven angles and seven sides.

Do

do1  (do̅o̅;[unstressed]dŏŏ, də),USA pronunciation v.  and auxiliary v., pres. sing. 1st pers.  do, 2nd  do  or ([Archaic])  do•est  or  dost, 3rd  does  or ([Archaic])  do•eth  or  doth, pres. pl.  do*  past sing. 1st pers.  did, 2nd  did  or ([Archaic])  didst, 3rd  did, past pl.  did;
 past part.  done;
 pres. part.  do•ing;
 n., pl.  dos, do's. 
v.t. 
  1. to perform (an act, duty, role, etc.): Do nothing until you hear the bell.
  2. to execute (a piece or amount of work): to do a hauling job.
  3. to accomplish;
    finish;
    complete: He has already done his homework.
  4. to put forth;
    exert: Do your best.
  5. to be the cause of (good, harm, credit, etc.);
    bring about;
    effect.
  6. to render, give, or pay (homage, justice, etc.).
  7. to deal with, fix, clean, arrange, move, etc., (anything) as the case may require: to do the dishes.
  8. to travel;
    traverse: We did 30 miles today.
  9. to serve;
    suffice for: This will do us for the present.
  10. to condone or approve, as by custom or practice: That sort of thing simply isn't done.
  11. to travel at the rate of (a specified speed): He was doing 80 when they arrested him.
  12. to make or prepare: I'll do the salad.
  13. to serve (a term of time) in prison, or, sometimes, in office.
  14. to create, form, or bring into being: She does wonderful oil portraits.
  15. to translate into or change the form or language of: MGM did the book into a movie.
  16. to study or work at or in the field of: I have to do my math tonight.
  17. to explore or travel through as a sightseer: They did Greece in three weeks.
  18. (used with a pronoun, as it or that, or with a general noun, as thing, that refers to a previously mentioned action): You were supposed to write thank-you letters; do it before tomorrow, please.
  19. to wear out;
    exhaust;
    tire: That last set of tennis did me.
  20. to cheat, trick, or take advantage of: That crooked dealer did him for $500 at poker.
  21. to attend or participate in: Let's do lunch next week.
  22. to use (a drug or drugs), esp. habitually: The police report said he was doing cocaine.

v.i. 
  1. to act or conduct oneself;
    be in action;
    behave.
  2. to rob;
    steal from: The law got him for doing a lot of banks.
  3. to proceed: to do wisely.
  4. to get along;
    fare;
    manage: to do without an automobile.
  5. to be in health, as specified: Mother and child are doing fine.
  6. to serve or be satisfactory, as for the purpose;
    be enough;
    suffice: Will this do?
  7. to finish or be finished.
  8. to happen;
    take place;
    transpire: What's doing at the office?
  9. (used as a substitute to avoid repetition of a verb or full verb expression): I think as you do.

auxiliary verb. 
  1. (used in interrogative, negative, and inverted constructions): Do you like music? I don't care. Seldom do we witness such catastrophes.
  2. [Archaic.](used in imperatives with you or thou expressed;
    and occasionally as a metric filler in verse): Do thou hasten to the king's side. The wind did blow, the rain did fall.
  3. (used to lend emphasis to a principal verb): Do visit us!
  4. do a number on (someone). See  number (def. 27).
  5. do away with: 
    • to put an end to;
      abolish.
    • to kill.
  6. do by, to deal with;
    treat: He had always done well by his family.
  7. do for: 
    • to cause the defeat, ruin, or death of.
    • [Chiefly Brit.]to cook and keep house for;
      manage or provide for.
  8. do in, [Informal.]
    • to kill, esp. to murder.
    • to injure gravely or exhaust;
      wear out;
      ruin: The tropical climate did them in.
    • to cheat or swindle: He was done in by an unscrupulous broker.
  9. do one proud. See  proud (def. 11).
  10. do one's number. See  number (def. 28).
  11. do one's (own ) thing. See  thing 1 (def. 17).
  12. do or die, to make a supreme effort.
  13. do out of, [Informal.]to swindle;
    cheat: A furniture store did me out of several hundred dollars.
  14. do over, to redecorate.
  15. do time, [Informal.]to serve a term in prison: It's hard to get a decent job once you've done time.
  16. do to death. See  death (def. 15).
  17. do up, [Informal.]
    • to wrap and tie up.
    • to pin up or arrange (the hair).
    • to renovate;
      launder;
      clean.
    • to wear out;
      tire.
    • to fasten: Do up your coat.
    • to dress: The children were all done up in funny costumes.
  18. do with, to gain advantage or benefit from;
    make use of: I could do with more leisure time.
  19. do without: 
    • to forgo;
      dispense with.
    • to dispense with the thing mentioned: The store doesn't have any, so you'll have to do without.
  20. have to do with. See  have (def. 36).
  21. make do, to get along with what is at hand, despite its inadequacy: I can't afford a new coat so I have to make do with this one.

n. 
  1. a burst of frenzied activity;
    action;
    commotion.
  2. a hairdo or hair styling.
  3. a swindle;
    hoax.
  4. [Chiefly Brit.]a festive social gathering;
    party.
  5. dos and don'ts, customs, rules, or regulations: The dos and don'ts of polite manners are easy to learn.

The

the1  (stressed ᵺē; unstressed before a consonant ᵺə;
unstressed before a vowel ᵺē),USA pronunciation
 definite article. 
  1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
  2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
    the Alps;
    theQueen Elizabeth;
    the past; the West.
  3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
  4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
  5. (used to mark a noun as being used generically): The dog is a quadruped.
  6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
  7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
  8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
  9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
  10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
  11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
  12. (used distributively, to note any one separately) for, to, or in each;
    a or an: at one dollar the pound.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

An

an1  (ən; when stressed an),USA pronunciation indefinite article.
  1. the form of  a before an initial vowel sound (an arch;
    an honor
    ) and sometimes, esp. in British English, before an initial unstressed syllable beginning with a silent or weakly pronounced h: an historian.

Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

Angle

an•gle1  (anggəl),USA pronunciation n., v.,  -gled, -gling. 
n. 
  1. [Geom.]
    • the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.
    • the figure so formed.
    • the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or in degrees, minutes, and seconds, as in 12° 10prime;
      30ʺ, which is read as 12 degrees, 10 minutes, and 30 seconds.
  2. an angular projection;
    a projecting corner: the angles of a building.
  3. a viewpoint;
    standpoint: He looked at the problem only from his own angle.
    • slant (def. 11).
    • the point of view from which copy is written, esp. when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle.
  4. one aspect of an event, problem, subject, etc.: The accountant emphasized the tax angle of the leasing arrangement.
  5. [Motion Pictures, Photog.]See  angle shot. 
  6. [Informal.]a secret motive: She's been too friendly lately—what's her angle?
  7. any of the four interceptions of the equatorial circle by the two basic axes, the horizon and the meridian: commonly identified by the compass directions.
  8. See  angle iron (def. 2).
  9. [Slang.]play the angles, to use every available means to reach one's goal: A second-rate talent can survive only by playing all the angles.

v.t. 
  1. to move or bend in an angle.
  2. to set, fix, direct, or adjust at an angle: to angle a spotlight.
  3. to write or edit in such a way as to appeal to a particular audience;
    slant: She angled her column toward teenagers.

v.i. 
  1. to turn sharply in a different direction: The road angles to the right.
  2. to move or go in angles or at an angle: The trout angled downstream.

And

and (and; unstressed ənd, ən, or, esp. after a homorganic consonant, n),USA pronunciation  conj. 
  1. (used to connect grammatically coordinate words, phrases, or clauses) along or together with;
    as well as;
    in addition to;
    besides;
    also;
    moreover: pens and pencils.
  2. added to;
    plus: 2 and 2 are 4.
  3. then: He read for an hour and went to bed.
  4. also, at the same time: to sleep and dream.
  5. then again;
    repeatedly: He coughed and coughed.
  6. (used to imply different qualities in things having the same name): There are bargains and bargains, so watch out.
  7. (used to introduce a sentence, implying continuation) also;
    then: And then it happened.
  8. [Informal.]to (used between two finite verbs): Try and do it. Call and see if she's home yet.
  9. (used to introduce a consequence or conditional result): He felt sick and decided to lie down for a while. Say one more word about it and I'll scream.
  10. but;
    on the contrary: He tried to run five miles and couldn't. They said they were about to leave and then stayed for two more hours.
  11. (used to connect alternatives): He felt that he was being forced to choose between his career and his family.
  12. (used to introduce a comment on the preceding clause): They don't like each other--and with good reason.
  13. [Archaic.]if: and you please.Cf. an2.
  14. and so forth, and the like;
    and others;
    et cetera: We discussed traveling, sightseeing, and so forth.
  15. and so on, and more things or others of a similar kind;
    and the like: It was a summer filled with parties, picnics, and so on.

n. 
  1. an added condition, stipulation, detail, or particular: He accepted the job, no ands or buts about it.
  2. conjunction (def. 5b).

Central

cen•tral1  (sentrəl),USA pronunciation adj. 
  1. of or forming the center: the central hut in the village.
  2. in, at, or near the center: a central position.
  3. constituting something from which other related things proceed or upon which they depend: a central office.
  4. principal;
    chief;
    dominant: the play's central character.
  5. [Anat., Zool.]
    • of or pertaining to the central nervous system.
    • of or pertaining to the centrum of a vertebra.
  6. (of a speech sound) produced with the tongue articulating neither expressly forward nor in the back part of the mouth, as any of the sounds of lull.
  7. (of a force) directed to or from a fixed point.

n. 
  1. (formerly)
    • a main telephone exchange.
    • a telephone operator at such an exchange.
central•ly, adv. 

Angle

an•gle1  (anggəl),USA pronunciation n., v.,  -gled, -gling. 
n. 
  1. [Geom.]
    • the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.
    • the figure so formed.
    • the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or in degrees, minutes, and seconds, as in 12° 10prime;
      30ʺ, which is read as 12 degrees, 10 minutes, and 30 seconds.
  2. an angular projection;
    a projecting corner: the angles of a building.
  3. a viewpoint;
    standpoint: He looked at the problem only from his own angle.
    • slant (def. 11).
    • the point of view from which copy is written, esp. when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle.
  4. one aspect of an event, problem, subject, etc.: The accountant emphasized the tax angle of the leasing arrangement.
  5. [Motion Pictures, Photog.]See  angle shot. 
  6. [Informal.]a secret motive: She's been too friendly lately—what's her angle?
  7. any of the four interceptions of the equatorial circle by the two basic axes, the horizon and the meridian: commonly identified by the compass directions.
  8. See  angle iron (def. 2).
  9. [Slang.]play the angles, to use every available means to reach one's goal: A second-rate talent can survive only by playing all the angles.

v.t. 
  1. to move or bend in an angle.
  2. to set, fix, direct, or adjust at an angle: to angle a spotlight.
  3. to write or edit in such a way as to appeal to a particular audience;
    slant: She angled her column toward teenagers.

v.i. 
  1. to turn sharply in a different direction: The road angles to the right.
  2. to move or go in angles or at an angle: The trout angled downstream.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.
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