Chapter 11, Problem 34SGR

To determine

To calculate the circumference.

Answer to Problem 34SGR

16.76 ft.

Explanation of Solution

Given Information: Diameter = $5\frac{1}{3}$ ft

Formula Used:Circumference of circle = $2\pi \times r$ , $\pi =\frac{22}{7}$ , $radius=\frac{diameter}{2}$ .

Calculation:

Diameter = d, Radius = r.

Now, diameter is of $5\frac{1}{3}$ ft.

Hence, $5\frac{1}{3}$ ft = $\frac{16}{3}$ ft.

So, $radius=\frac{diameter}{2}$

  $radius=\frac{16}{3\times 2}$ ft

  $radius=\frac{16}{6}$ ft

  $radius=\frac{8}{3}$ ft

Circumference of circle = $2\pi \times r$

Circumference of circle = $2\pi \times \frac{8}{3}$ ft

Circumference of circle = $\frac{16}{3}\pi$ ft.

Now, $\pi =\frac{22}{7}$

Circumference of circle = $\frac{16}{3}\times \frac{22}{7}$ ft

Circumference of circle = 16.76 ft.