Question

The circumference of two circles are in ratio 1:3.Find the ratio of their areas.

Answer 1

perimeter of two circles are in ratio 1:3 so if you take R=3,r=1. then area of circles are in the ratio pir^2:piR^2 so pi pi cancel so 1:3^2 that is 1:9

Answer 2

★ GEOMETRY [ CIRCLES ] ★

Given that the ratio of circumference of two circles is 3:1

Let the radius of two circles be m and n

2πm : 2πn = 3 : 1

Hence, m : n = 3 : 1

Ratio of areas of the circles will be ,

2πm² : 2πn² = m² : n² = 9 : 1

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