Chapter 12.2, Problem 1MRE

To determine

To find: The area and the circumference of the circle with radius 6.

Answer to Problem 1MRE

The circumference of the circle is $12\pi$ and area of the circle is $36\pi$ .

Explanation of Solution

Given information: The radius of the circle is 6.

Calculation:

The formula of the circumference of a circle with radius $r$ is:

  $C=2\pi r$

Substitute 6 for $r$ in the above formula.

  $\begin{array}{c}C=2\pi \left(6\right)\\ =12\pi \end{array}$

The area of the circle with radius $r$ is given by,

  $A=\pi r^2$

Substitute 6 for $r$ in the above formula.

  $\begin{array}{c}A=\pi {\left(6\right)}^2\\ =36\pi \end{array}$

Therefore, circumference of the circle is $12\pi$ and area of the circle is $36\pi$ .