Question

101
The ratio of radii of 2 circles is 3:7
What is the ratio of
their areas?

Answer 1

Answer:

9 : 49

Step-by-step explanation:

22/7*3*3=22/7*7*7

9:49

Answer 2

Given:-

• The ratio of radii of 2 circles is 3:7

To Find:-

• What is the ratio of their areas?

Solution:-

Let the ratios of the radii respective circles be 3x and 7x

We know that,

$\Large{\tt{Area \: of \: a \: Circle \: = \: \pi{r}^{2}}}$

According to the Question we have!

$\implies\large{\tt{\pi ({3})^{2} : \pi ({7})^{2}}}$

$\implies\large{\tt{({3})^{2} : ({7})^{2}}}$

$\implies\large{\tt{ 9 : 49}}$

Therefore,

The ratio of their areas is 9:49.

Know More:-

• A very easy method for determining the answers of questions of this same type is just squaring the ratio of the radii, that would represent the ratio of the area.