Chapter 0, Problem 52POT

To determine

To find:the circumference and the area of the given circle as shown in the given figure. Round to the nearest tenth.

Answer to Problem 52POT

  $c=22\text{ cm and }A=38.5{\text{ cm}}^2$ .

Explanation of Solution

Given:

The given figure is

Concept used:

Circumference of the circle is $c=\pi d=2\pi r$

Area of the circle is $A=\pi r^2$ .

Calculation:

According to the figure, the radius is $r=3.5\text{cm}$ .

Now, circumference of the circle is given by

  $\begin{array}{l}c=2\pi r\\ =2\times \frac{22}{7}\times 3.5\\ =22cm\end{array}$

Again, area of the circle is given by

  $\begin{array}{l}A=\pi r^2\\ =\frac{22}{7}\times {\left(3.5\text{ inch}\right)}^2\\ =\frac{22}{7}\times 12.25{\text{ inch}}^2\\ =38.5{\text{ inch}}^2\end{array}$

Hence, the circumference and the area of the given circle is $c=22\text{ cm and }A=38.5{\text{ cm}}^2$ .