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

Step-by-step explanation:

If two shapes are similar , then

$\frac{A_{1} }{A_{2}}= (\frac{r_{1}}{r_{2}}) ^{2}$

substituting the given ratio into the formula , we have :

$\frac{25}{16}=(\frac{r_{1}}{r_{2}})^{2}$

take the square root of both sides

therefore:

$\frac{r_{1}}{r_{2}}= \frac{5}{4}$

Therefore : the ratio of their radius = 5:4