Chapter 10.4, Problem 4E

To determine

To calculate the radius.

Answer to Problem 4E

4 m.

Explanation of Solution

Given Information: Circumference = 22 m.

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

Calculation:

Diameter = d, Radius = r.

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

Put the value of circumference to find the radius.

22 m = $2\pi \times r$ m

  $radius=\frac{Circumference}{2\times \pi }$

  $radius=\frac{22}{2\times \pi }$ m

So,

  $radius=\frac{11}{\pi }$ m

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

Put the value of $\pi$ to find the radius

  $radius=\frac{11}{\frac{22}{7}}$ m

So,

  $radius=\frac{11\times 7}{22}$ m

So,

  $radius=\frac{7}{2}$ m

Hence,

  $radius=3.5$ m

Nearest Radius of circle = 4m.