Chapter 11.7, Problem 20PPS

To determine

To calculate circumference and distance for 10 revolutions, rounded to the nearest foot.

Answer to Problem 20PPS

  $2514$ feet

Explanation of Solution

Given information: Diameter (d) $=80$ feet.

Formula used:

Circumference (c) of a circle can be calculated using formula $2\times \pi \times r$

Where ‘r’ is the radius $=\frac{d}{2}$

For calculations, value of $\pi =\frac{22}{7}$ .

Calculation:

  $c=2\times \pi \times r$

Formula to calculate the circumference of a circle.

  $=2\times \frac{22}{7}\times \frac{80}{2}$

Dividing the common numbers from the numerator and denominator.

  $=251.43$ feet

Since the rider travels 10 revolutions, multiply the length of the circumference into 10.

  $=10\times 251.43$

Multiplying the same.

  $=2514.3$

Rounding to the nearest tenth.

  $=2514$ feet.