Question

Find the radius of a circle in which a central angle of 45degree intercepts an arc of length 33cm.(take pie = 22/7)

Answer 1

Given :   a circle in which a central angle of 45 degree intercepts an arc of length 33 cm

To find  : radius of a circle

Solution:

Let say radius of circle r cm

Arc length =  (arc angle / 360° ) * 2πr

 Arc length =  33 cm

π = 22/7

 Arc  angle = 45°

=> 33 = (45° / 360°) ×  2 ( 22/7) r

=> 33 =  ( 1/8) *  2 ( 22/7) r

=> 33 =  ( 1/4) ( 22/7) r

=>  33 =  ( 1/2) (11/7) r

=> 3 = (1/2)(1/7)r

=> r = 42  cm

radius of a circle  = 42 cm

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Answer 2

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Given,

Length of the arc = l = 37.4 cm

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

We know that,

r = l/θ

= (37.4) * (π / 3)

= (37.4) / [22 / 7 * 3]

= 35.7 cm

Hence, the radius of the circle is 35.7 cm

Hope it's Helpful....:)