Q41. - Algebra 1

Question

Find the circumference and area of each circle. Round to nearest tenth.

Step-by-Step Solution

Answer

$\begin{array}{l}\text{Circumference }C=12.6\text{ m}\\ \text{Area }A=12.6{\text{ m}}^2\end{array}$

Step 1. Radius of the given circle.

In the given circle, observe that the radius is 2 m, that is, $r=2\text{ m}$

Step 2. Formula used.

The circumference and area of a circle of radius r are given by

$\begin{array}{l}\text{Circumference of a circle }C=2\pi r\\ \text{Area of a circle }A=\pi r^2\end{array}$

Step 3. Calculate the circumference of the circle.

In order to find the circumference of the circle, use the above formula and substitute 2 for r and simplify further as shown below:

$\begin{array}{l}\text{Circumference of circle}\\ C=2\pi \left(2\right)\\ C=12.6\text{ m}\end{array}$

Step 4. Calculate the area of the circle.

In order to find the area of the circle, use above formula ad substitute 2 for r and simplify further as shown below

$\begin{array}{l}A=\pi {\left(2\right)}^2\\ A=4\pi \\ A=12.6{\text{ m}}^2\end{array}$

Therefore,

$\begin{array}{l}\text{Circumference of given circle }C=12.6\text{ m}\\ \text{Area of given circle }A=12.6{\text{ m}}^2\end{array}$