Question

A 2- inch radius circle is drawn inside a 6- inch radius circle. If you throw a dart at these circles, what is the probability you land inside the smaller circle?

Answer 1

The probability is
`11.11\%` or
`1/9`

Explanation:

we know that

To find the probability divide the area of the smaller circle by the area of the larger circle

so

The area of a circle is equal to

`A=\pi r^(2)`

step 1

Find the area of the smaller circle

`A=\pi (2)^(2)=4\pi\ in^(2)`

step 2

Find the area of the larger circle

`A=\pi (6)^(2)=36\pi\ in^(2)`

step 3

Divide the area of the smaller circle by the area of the larger circle

`4\pi\ in^(2)/36\pi\ in^(2)=1/9=11.11\%`