Two sectors are drawn on equal circles

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

Problem

Two sectors are drawn on equal circles. Sector PP subtends 120∘120^{\circ} at the centre, while sector QQ subtends 150∘150^{\circ}. Which statement is correct about their areas? (a) Area(P)\text{Area}(P) equals Area(Q)\text{Area}(Q) (b) Area(P)\text{Area}(P) is greater than Area(Q)\text{Area}(Q) (c) Area(P)\text{Area}(P) is less than Area(Q)\text{Area}(Q) (d) The areas cannot be compared without knowing the radius

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