Chapter 11.8, Problem 21PPS

To determine

To compute the area of shaded sector of the circle.

Answer to Problem 21PPS

  $39.3$ squaremeters.

Explanation of Solution

Given information: Radius $=10$ meters.

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.

  $=\frac{22}{7}\times 10\times 10\times \frac{45°}{360°}$

Taken $\pi =\frac{22}{7}$ . Also $\theta =45°$

  $=\frac{22}{7}\times 100\times \frac{1}{8}$

Simplifying the expression.

  $=\frac{2200}{56}$

Dividing the numerator by denominator.

  $=39.29$

Rounding to the nearest tenth.

  $=39.3$ square meters.