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  1. What will be the radius of circle in which a central angle of 60° intercepts an arc of length 37.4 cm.
    1. 35 cm
    2. 34.7 cm
    3. 35.7 cm
    4. 40 cm
Correct Option: C

Here,

θ = 60°
l = 37.4 cm
r = ?
We know that,

1° =
π
R
180°

⇒ 60° =
π
× 60R
180°

⇒ 60° =
π
R
3

We know that,
θ =
l
r

π
=
37.4
34

⇒ r =
37.4 × 3
π

r =
37.4 × 3 × 7
22

= 1.7 × 21 = 35.7 cm



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