Question

The areas of two circles are in the ratio of 25:16. What is the ratio of their radio?

Answer 1

Answer: 5:4

Explanation:

If two shapes are similar , then

`(A_(1) )/(A_(2))= ((r_(1))/(r_(2))) ^(2)`

substituting the given ratio into the formula , we have :

`(25)/(16)=((r_(1))/(r_(2)))^(2)`

take the square root of both sides

therefore:

`(r_(1))/(r_(2))= (5)/(4)`

Therefore : the ratio of their radius = 5:4