Chapter 11.7, Problem 31STP

To determine

To compute the circumference of the tire, to the nearest tenth.

Answer to Problem 31STP

F $75.4$ inches.

Explanation of Solution

Given information:

Diameter of the bicycle tire $d=24$ inches.

Formula used:

Circumference $C=2\times \pi \times r$

This can be written as

  $=2\times \pi \times \frac{d}{2}$ . Where ‘d’ is the diameter and ‘r’ is the radius of the circle.

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

Calculation:

  $C=2\times \pi \times \frac{d}{2}$

Formula for circumference of a circle.

  $=2\times \frac{22}{7}\times \frac{24}{2}$

Putting the value of diameter ‘d’.

  $=\frac{528}{7}$

On simplifying the expression.

  $=75.39$

Rounding to the nearest tenth.

  $=75.4$ inches.