Question

Find the radius of the circle in which a central angle of 60° intercepts an arc of length 32.4 cm 27 user = metric function

Answer 1

radius of circle be "r"

central angle(¥) =60° = π/ 3 radiant

arc length (l) = 37.4

we know from formula...

central angle (¥) = arc length(l) ÷ radius

=). π/3 = 37.4 / r

=). r = 37.4 ×3 /π = 112.2 / π cm

=). r = 112.2 ×7/ 22 = 35.7 cm

ans = 4.5

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....:)