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:

$\dfrac{A_1}{A_2}=\dfrac{36\pi}{25\pi}=\dfrac{36}{25}$

Answer: 36 : 25