Sector A and Sector B each subtend an angle of at the centre of their respective circles

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

Sector A and Sector B each subtend an angle of 90∘90^{\circ} at the centre of their respective circles. The length of the arc of Sector A is 11 cm, while the area of Sector B is 154 cm2^2. Taking π=227\pi = \dfrac{22}{7}, what is the ratio of the radii of their circles rA:rBr_A : r_B? (a) 1:41 : 4 (b) 1:21 : \sqrt{2} (c) 1:21 : 2 (d) 2:12 : 1

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