Question

The areas of two circles are in the ratio 49:64. Find the ratio of their circumferences.

Answer 1

7 : 8

Explanation:

Given 2 similar figures with circumference ratio a : b

Then the ratio of the corresponding areas = a² : b²

Here the ratio of areas = 49 : 64

Taking the square root of both gives ratio of circumference

ratio of circumference =
`√(49)` :
`√(64)` = 7 : 8