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

User Yerachmiel
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1 Answer

4 votes
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

User Rojoca
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6.0k points
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