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25 July, 10:01

Calculate the length of an arc

which subtends an angle of 100 degrees

at the centre of a circumcised radius 14cm

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Answers (1)
  1. 25 July, 13:46
    0
    Easy peasy

    remember that the arc is a part of the perimiter of the circle aka circumference

    also 360 degrees=circle

    we are given the radius

    calculate circumference

    c=2pi times r

    r=14

    c=pi times 2 itimes 14

    c=28pi

    100 degrees is the arc

    find what fraction of the circumferece thei srepresents

    whole=360

    100/360=10/36=5/18

    so if circumference=28pi then multiply 5/18 by that

    5/18 times 28pi=140pi/18=70pi/9

    legnth = (70pi) / 9 cm

    if you were to aprox pi to 3.14 then the answer would be

    24.4222222 cm
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