Two sectors have equal areas

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

Two sectors have equal areas. Sector P is in a circle of radius r1r_1 cm and has a central angle of 120∘120^\circ. Sector Q is in another circle of radius r2r_2 cm and has a central angle of 90∘90^\circ. Determine the ratio r1:r2r_1 : r_2.

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