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What will be the radius of circle in which a central angle of 60° intercepts an arc of length 37.4 cm.
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- 35 cm
- 34.7 cm
- 35.7 cm
- 40 cm
- 35 cm
Correct Option: C
Here,
θ = 60°
l = 37.4 cm
r = ?
We know that,
1° = | R | |||
180° |
⇒ 60° = | × 60 | R | |||
180° |
⇒ 60° = | R | |||
3 |
We know that,
θ = | |
r |
⇒ | = | ||
3 | 4 |
⇒ r = | ||
π |
r = | ||
22 |
= 1.7 × 21 = 35.7 cm