Question

find the radius of a circle in which a central angle of 60 degree interception arc of 132 CM​

Answer 1

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Let "theta" be written as ¤

let radius be "r".

r=?

l (length of arc) = 132 cm

=> 132 = (¤/180) πr

=> 132 = 60/180 * 22/7 * r

=> 132 * 3 * 7/22 = r

=> 21 * 6 = r

=> r = 126 (Ans.)

Answer 2

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Given,

Length of the arc = l = 132 cm

Central angle = θ = 60° = 60π/180 radian = π/3 radians

We know that,

r = l/θ

= (132) * (π / 3)

= (132) / [22 / 7 * 3]

= 126 cm

Hence, the radius of the circle is 126cm

Hope it's Helpful....:)