Chapter 8.6, Problem 64STP

To determine

To find: The area of the circle.

Answer to Problem 64STP

The correct option will be: $\frac{9}{25}\pi$

Explanation of Solution

Given information:

The circumference is:

  

Calculation:

Here the circumference is:

  $C=\frac{6\pi }{5}$

The strategy is to find the area of the circle.

Assume the radius of the circle is: $\text{r}$

The circumference is given by:

  $C=\frac{6\pi }{5}$

  $2\pi r=\frac{6\pi }{5}$

  $r=\frac{6\pi }{5\cdot 2\pi }$

  $r=\frac{3}{5}$

Now the area will be:

  $A=\pi r^2$

  $=\pi {\left(\frac{3}{5}\right)}^2$

  $=\pi \left(\frac{9}{25}\right)$

  $=\frac{9}{25}\pi$

Hence, the correct option will be: $\frac{9}{25}\pi$