In a circle, an arc subtends an angle of 84° at the center. If the length of the arc is 22 cm, then the radius of the circle (in cm) is equal to:
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 15.
The length of an arc (L) = (θ/360) × 2πr
So, 22 = (84/360) × 2 × (22/7) × r
⇒ 1 = (84/360) × 2 × (1/7) × r
⇒ 1 = r/15
⇒ r = 15
Therefore, the radius of the circle is 15 cm.