In a circle a central angle of 80 degree has an opposite arc with length of 100 pi feet. find the length of radius

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asked Jan 4, 2019 66.8k views

1 Answer

Rojoca · Answer 1 · 2019-01-07T22:16:14+0000

we know that

length of a sector=(∅/360°)*2*pi*r--------> when ∅ is in degree
r=[360°*length of a sector]/[∅*2*pi]

in this problem
∅=80°
length of a sector=100*pi ft

r=[360°*100*pi]/[80°*2*pi]-----> 225 ft

the answer is
225 ft

In a circle a central angle of 80 degree has an opposite arc with length of 100 pi feet. find the length of radius

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