Question

If the radii of two circles are in the ratio of 4 : 3, then their areas are in the ratio of ______.

Options

• 4 : 3

• 8 : 3

• 16 : 9

• 9 : 16

Answer 1

If the radii of two circles are in the ratio of 4 : 3, then their areas are in the ratio of 16 : 9.

Explanation:

Let radii of circles are r₁ and r₂

Given: `r_1/r_2 = 4/3`

`(pir_1^2)/(pir_2^2) = r_1^2/r_2^2`

= `(r_1/r_2)^2`

= `(4/3)^2`

= `16/9`