Chapter 11.8, Problem 23PPS

To determine

To find the area of sector of the circle.

Answer to Problem 23PPS

  $22.6$ squaremillimeters.

Explanation of Solution

Given information: Radius $=6$ millimeters.

Formula used: Area of sector of circle $a=\pi \times r^2\times \frac{\theta }{360°}$

Calculation: $a=\pi \times r^2\times \frac{\theta }{360°}$

Putting the value of the radius.

  $=\frac{22}{7}\times 6\times 6\times \frac{72°}{360°}$

Taken $\pi =\frac{22}{7}$ . Also $\theta =72°$

  $=\frac{22}{7}\times 36\times \frac{1}{5}$

Simplifying the expression.

  $=\frac{792}{35}$

Dividing the numerator by the denominator.

  $=22.63$

Rounding to the nearest tenth.

  $=22.6$ square millimeters.