Chapter 1.6, Problem 37PPS

To determine

Find the circumference of circle

Answer to Problem 37PPS

  Perimeter is $8\sqrt{2}\pi$ .

Explanation of Solution

Given information:

  Area is $32\pi$

Calculation:

Area of circle is $32\pi$

  $\pi r^2$ = $32\pi$

Dividing $\pi$ ,

  $r^2=32$

Rooting,

  $r=\sqrt{4\times 4\times 2}$

So,

  $r=4\sqrt{2}$

Hence, perimeter= $2\pi r$

Substituting value,

  Perimeter= $2\pi (4\sqrt{2})$

Hence, perimeter is $8\sqrt{2}\pi$ .