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Dominik [7]
3 years ago
15

Calculate the length of an arc

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 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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