Question

what will be the radius of the circle in which central angle of 60° intercepts an arc of length 22 cm​

Answer 1

✔️ Given :-

➡ Arc length of the circle (L) = 22 cm

➡ Central angle ( Θ ) = 60°

✔️ To find :-

➡ Radius of the circle = ?

✔️ Solution :-

Radian = π/ 180 * angle

= 60π / 180

= π/3 radian

we know that radius = arc length / angle = L / Θ

r = 22/ π/ 3

r = 22 / 22/7 / 3

r = 22 / (22 / 7 * 3 )

r = 22 / 1.047

Therefore radius of the circle = 22.01 cm

_______________________

Multiply the number of degrees by π/180 to get converted into radian

we usually convert degrees into radian because it's easier to measure !

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....:)