Question

What is the ratio of the area of the larger circle to the area of the smaller circle

Answer 1

The formula of an area of a circle:

`A=\pi r^2`

We have R = 6mm and r = 5 mm.

Substitute:

`A_1=\pi(6^2)=36\pi\ mmm^2\\\\A_2=\pi(5^2)=25\pi\ mm^2`

The ratio:

`(A_1)/(A_2)=(36\pi)/(25\pi)=(36)/(25)`

Answer: 36 : 25