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

Answer:

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

Step-by-step 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

$4\pi\ in^{2}/36\pi\ in^{2}=1/9=11.11\%$