Chapter 11.7, Problem 15PSB

To determine

To calculate:Theratio of area of circle with center Aandarea of circle with centerP .

Answer to Problem 15PSB

Theratiois $16:81$ .

Explanation of Solution

Given information:

Circle with center A has a radius of 4.

Circle with center P has a radius of 9.

Formula used:

Area of a circle: $A=\pi r^2$

r = radius of circle.

Calculation:

  

Circle with center A has a radius of 4.

  $A_{CenterA}=\pi {(4)}^2=16\pi$

Circle with center P has a radius of 9.

  $A_{Center\text{ P}}=\pi {(9)}^2=81\pi$

The ratio is as follows:

  $\begin{array}{l}\frac{A_{CenterA}}{A_{Center\text{ P}}}=\frac{16\pi }{81\pi }\\ \frac{A_{CenterA}}{A_{Center\text{ P}}}=\frac{16}{81}\end{array}$