Chapter 0.7, Problem 12E

To determine

To calculate: The circumference of the given circle to the nearest tenth,

  

Answer to Problem 12E

The circumference of the circle is $\text{75}\text{.4 cm}$ .

Explanation of Solution

Given information:

The figure is provided below,

  

Formula used:

Circumference $\left(C\right)$ of a circle with radius r units is denoted by $C=2\pi r$ .

Calculation:

Consider the provided figure,

  

In the above figure the circle has the radius of 12 cm, i.e. $r=\text{12 cm}$ .

Recall that circumference $\left(C\right)$ of a circle with radius r units is denoted by $C=2\pi r$ .

Apply it,

  $\begin{array}{c}C=2\cdot \frac{22}{7}\cdot 12\\ =75.428\text{ cm}\end{array}$

Rounding off to the nearest tenth,

  $C=75.4\text{ cm}$

Thus, the circumference of the circle is $\text{75}\text{.4 cm}$ .