Chapter 11.8, Problem 11PPS

To determine

To compute the area of the circle.

Answer to Problem 11PPS

  $78.6$ squaremiles.

Explanation of Solution

Given information: Diameter $d=10$ miles. Hence radius $r=\frac{d}{2}$

  $=5$ miles.

Formula used: Area of circle $A=\pi \times r^2$

Calculation: $A=\pi \times r^2$

Formula for area of a circle.

  $=\frac{22}{7}\times 5\times 5$

Taken ‘pi’ as $\frac{22}{7}$ .

  $=\frac{550}{7}$

Dividing the numerator by the denominator.

  $=78.57$

Rounding to the nearest tenth.

  $=78.6$ square miles.