alleryA central angle of $60^{\circ}$ intercepts an arc of length $37.4$ cm in a circle. Find the radius. (Use $\pi = 22/7$.)
A$42$ cm
B$40$ cm
C$25.5$ cm
D$35.7$ cm
Answer & Solution
Correct answer: D. $35.7$ cm
**Convert:** $60^{\circ} = \pi/3$ rad.
Then $r = l/\theta = 37.4 / (\pi/3) = 37.4 \cdot 3 / \pi = 37.4 \cdot 3 \cdot 7 / 22 = 35.7$ cm.
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