How To Measure The Area Of A Circle Segment ( Area Of Circle Section #5)

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How

how¹  (hou),USA pronunciation adv. 

1. in what way or manner;
   by what means?: How did the accident happen?
2. to what extent, degree, etc.?: How damaged is the car?
3. in what state or condition?: How are you?
4. for what reason;
   why?: How can you talk such nonsense?
5. to what effect;
   with what meaning?: How is one to interpret his action?
6. what?: How do you mean? If they don't have vanilla, how about chocolate?
7. (used as an intensifier): How seldom I go there!
8. by what title or name?: How does one address the president?
9. at what price: How are the new cars going, cheaper than last year's models?
10. by what amount or in what measure or quantity?: How do you sell these tomatoes?
11. in what form or shape?: How does the demon appear in the first act of the opera? How does the medication come?
12. and how! [Informal.]certainly! you bet!: Am I happy? And how!
13. Here's how, [Informal.](used as a toast).
14. how come? [Informal.]how is it that? why?: How come you never visit us anymore?
15. how so? how does it happen to be so? why?: You haven't any desire to go? How so?

conj. 

1. the manner or way in which: He couldn't figure out how to solve the problem.
2. about the manner, condition, or way in which: I don't care how you leave your desk when you go. Be careful how you act.
3. in whatever manner or way;
   however: You can travel how you please.
4. that: He told us how he was honest and could be trusted.

n. 

1. a question concerning the way or manner in which something is done, achieved, etc.: a child's unending whys and hows.
2. a way or manner of doing something: to consider all the hows and wherefores.
3. a word formerly used in communications to represent the letter H.

To

to (to̅o̅; unstressed tŏŏ, tə),USA pronunciation prep. 

1. (used for expressing motion or direction toward a point, person, place, or thing approached and reached, as opposed to from): They came to the house.
2. (used for expressing direction or motion or direction toward something) in the direction of;
   toward: from north to south.
3. (used for expressing limit of movement or extension): He grew to six feet.
4. (used for expressing contact or contiguity) on;
   against;
   beside;
   upon: a right uppercut to the jaw; Apply varnish to the surface.
5. (used for expressing a point of limit in time) before;
   until: to this day; It is ten minutes to six. We work from nine to five.
6. (used for expressing aim, purpose, or intention): going to the rescue.
7. (used for expressing destination or appointed end): sentenced to jail.
8. (used for expressing agency, result, or consequence): to my dismay; The flowers opened to the sun.
9. (used for expressing a resulting state or condition): He tore it to pieces.
10. (used for expressing the object of inclination or desire): They drank to her health.
11. (used for expressing the object of a right or claim): claimants to an estate.
12. (used for expressing limit in degree, condition, or amount): wet to the skin; goods amounting to $1000; Tomorrow's high will be 75 to 80°.
13. (used for expressing addition or accompaniment) with: He added insult to injury. They danced to the music. Where is the top to this box?
14. (used for expressing attachment or adherence): She held to her opinion.
15. (used for expressing comparison or opposition): inferior to last year's crop; The score is eight to seven.
16. (used for expressing agreement or accordance) according to;
    by: a position to one's liking; to the best of my knowledge.
17. (used for expressing reference, reaction, or relation): What will he say to this?
18. (used for expressing a relative position): parallel to the roof.
19. (used for expressing a proportion of number or quantity) in;
    making up: 12 to the dozen; 20 miles to the gallon.
20. (used for indicating the indirect object of a verb, for connecting a verb with its complement, or for indicating or limiting the application of an adjective, noun, or pronoun): Give it to me. I refer to your work.
21. (used as the ordinary sign or accompaniment of the infinitive, as in expressing motion, direction, or purpose, in ordinary uses with a substantive object.)
22. raised to the power indicated: Three to the fourth is 81( 3⁴ = 81).

adv. 

1. toward a point, person, place, or thing, implied or understood.
2. toward a contact point or closed position: Pull the door to.
3. toward a matter, action, or work: We turned to with a will.
4. into a state of consciousness;
   out of unconsciousness: after he came to.
5. to and fro. See  fro (def. 2).

Measure

meas•ure (mezh′ər),USA pronunciation n., v.,  -ured, -ur•ing. 
n. 

1. a unit or standard of measurement: weights and measures.
2. a system of measurement: liquid measure.
3. an instrument, as a graduated rod or a container of standard capacity, for measuring.
4. the extent, dimensions, quantity, etc., of something, ascertained esp. by comparison with a standard: to take the measure of a thing.
5. the act or process of ascertaining the extent, dimensions, or quantity of something;
   measurement.
6. a definite or known quantity measured out: to drink a measure of wine.
7. any standard of comparison, estimation, or judgment.
8. a quantity, degree, or proportion: in large measure.
9. a moderate amount: to live with a measure of enjoyment.
10. a limit, or an extent or degree not to be exceeded: to know no measure.
11. reasonable bounds or limits: to know no measure.
12. a legislative bill or enactment: The senate passed the new measure.
13. Usually, measures. actions or procedures intended as a means to an end: to take measures to avert suspicion.
14. a short rhythmical movement or arrangement, as in poetry or music.
15. a particular kind of such arrangement.
16. the music contained between two bar lines;
    bar.
17. a metrical unit.
18. an air or melody.
19. a slow, dignified dance.
20. Print. the width, measured in ems or picas, to which a column or page of printed matter is set.
21. measures, Geol. beds;
    strata.
22. Math. an abstraction of the property of length;
    a set function assigning to each set of a collection of sets a value, usu. having the properties of sigma finiteness and fnite additivity, the functional value of the whole collection being greater than zero.
23. beyond measure, too much to be reckoned;
    immeasurably;
    extremely: The suffering that they endured was beyond measure.
24. for good measure, as an extra: In addition to dessert, they served chocolates for good measure.
25. have or take someone's measure, to judge or assess someone's character, capabilities, etc.;
    size up: During their conversation she was taking his measure as a prospective employee.
26. in a or some measure, to some extent or degree: His conclusion is justified in some measure.

v.t. 

1. to ascertain the extent, dimensions, quantity, capacity, etc., of, esp. by comparison with a standard: to measure boundaries.
2. to mark off or deal out by way of measurement (often fol. by off or out ): to measure out two cups of flour.
3. to estimate the relative amount, value, etc., of, by comparison with some standard: to measure the importance of an issue.
4. to judge or appraise by comparison with something or someone else: to measure Corneille against Racine.
5. to serve as the measure of: Her sacrifices measure the degree of her love.
6. to adjust or proportion: to measure a portion to one's liking.
7. to bring into comparison or competition: to measure one's strength with another's.
8. to travel over;
   traverse: to measure a room with great strides.

v.i. 

1. to take measurements.
2. to admit of measurement.
3. to be of a specified measure.
4. measure one's length, to fall or be knocked down;
   fall flat: He missed a step in the dark and measured his length at the bottom.
5. measure swords: 
   • to test one's preparedness for a contest or encounter.
   • to battle with swords.
   • to fight, compete, etc.: The producer of the poorly reviewed show decided to measure swords with the critics.
6. measure up,
   • to reach a certain standard: The exhibition didn't measure up to last year's.
   • to be capable or qualified: As an administrator, he couldn't quite measure up.

meas′ur•er, n. 

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.

Area

ar•e•a (âr′ē ə),USA pronunciation n. 

1. any particular extent of space or surface;
   part: the dark areas in the painting; the dusty area of the room.
2. a geographical region;
   tract: the Chicago area; the unsettled areas along the frontier.
3. any section reserved for a specific function: the business area of a town; the dining area of a house.
4. extent, range, or scope: inquiries that embrace the whole area of science.
5. field of study, or a branch of a field of study: Related areas of inquiry often reflect borrowed notions.
6. a piece of unoccupied ground;
   an open space.
7. the space or site on which a building stands;
   the yard attached to or surrounding a house.
8. areaway (def. 1).
9. the quantitative measure of a plane or curved surface;
   two-dimensional extent.
10. a zone of the cerebral cortex having a specific function: The damage to Broca's area affected his speech.

ar′e•al, adj. 
ar′e•al•ly, adv. 

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.

Circle

cir•cle (sûr′kəl),USA pronunciation n., v.,  -cled, -cling. 
n. 

1. a closed plane curve consisting of all points at a given distance from a point within it called the center. Equation: x² + y² = r².
2. the portion of a plane bounded by such a curve.
3. any circular or ringlike object, formation, or arrangement: a circle of dancers.
4. a ring, circlet, or crown.
5. the ring of a circus.
6. a section of seats in a theater: dress circle.
7. the area within which something acts, exerts influence, etc.;
   realm;
   sphere: A politician has a wide circle of influence.
8. a series ending where it began, esp. when perpetually repeated;
   cycle: the circle of the year.
9. [Logic.]an argument ostensibly proving a conclusion but actually assuming the conclusion or its equivalent as a premise;
   vicious circle.
10. a complete series forming a connected whole;
    cycle: the circle of the sciences.
11. a number of persons bound by a common tie;
    coterie: a literary circle; a family circle.
12. an administrative division, esp. of a province.
13. a parallel of latitude.
14. • (formerly) the orbit of a heavenly body.
    • See  meridian circle. 
15. a glass or metal disk mounted concentrically with the spindle of a theodolite or level and graduated so that the angle at which the alidade is set may be read.
16. a sphere or orb: the circle of the earth.
17. a ring of light in the sky;
    halo.

v.t. 

1. to enclose in a circle;
   surround;
   encircle: Circle the correct answer on the exam paper. The enemy circled the hill.
2. to move in a circle or circuit around;
   rotate or revolve around: He circled the house cautiously.
3. to change course so as to pass by or avoid collision with;
   bypass;
   evade: The ship carefully circled the iceberg.
4. circle the wagons: 
   • (in the early U.S. West) to form the wagons of a covered-wagon train into a circle for defensive purposes, as against Indian attack.
   • to prepare for an all-out, unaided defensive fight: The company has circled the wagons since its market share began to decline.

v.i. 

1. to move in a circle or circuit: The plane circled for half an hour before landing.
2. [Motion Pictures, Television.]to iris (usually fol. by in or out).

cir′cler, n. 

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