Question

If ratio of radius of two circles is 4:5, then find the ratio of their areas​

Answer 1

I think it is the answer .

Answer 2

16:25

Step-by-step explanation:

Let the radii of the given circles be 4x and 5x respectively and let their areas be A1 and A2 respectively.

Then, A1 = πr²

= A1 = π × (4x)²

= A1 = 16πx²

And A2 = πr²

= A2 = π × (5x)²

= A2 = 25πx²

∴ (A1/A2) = (16πx²)/ (25πx²)

(A1/A2) = (16/25)

A1: A2 = 16: 25

Hence, the ratio of the areas of two circles is 16:25