Question

the ratio of circumference of the two circles is 9:16 find the ratio of their areas

Answer 1

Let their radii be r1 and r2

We are given 2Лr1/2Лr2 = 9/16
                      r1/r2 = 9/16

let r1 = 9k and r2 = 16k             [as they are in ratio ]

so, ratio of areas = Лr1²/Лr2² = r1²/r2² = (9k)²/(16k)² = 81/256

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