Question

The radius of two circle are in the ratio 2 : 3. Find their ratio of their:

(a) Circumferences. (b) Areas. ​

Answer 1

Let the radii of two circles are r1 and r2 respectively.

Given,

Circumference of 1st circleCircumference of 2nd circle=23

=> 2πr12πr2=23=> r1r2=23 => (r1r2)2=49

Area of 1st circleArea of 2nd circle= (r1r2)2=49