Question

A circle has a circumference of 43.96 inches. What is the area?

Answer 1

Given that the circumference of the circle is

`C=43.96in`

Step 1:

Calculate the radius of the circle

To calculate the radius of the circle, we will use the formula below

`\begin{gathered} C=2\pi r \\ \end{gathered}`

By substituting the values, we will have

`\begin{gathered} C=2\pi r \\ 43.96=2*\pi* r \\ 43.96=6.28r \\ \text{divide both sides by 6.28} \\ (6.28r)/(6.28)=(43.96)/(6.28) \\ r=7in \end{gathered}`

Step 2:

Calculate the area of the circle using the formula below

`\begin{gathered} A=\pi r^2 \\ \text{Where,} \\ \pi \\ r=7in \end{gathered}`

By substituting the values, we will have

`\begin{gathered} A=\pi r^2 \\ A=\pi*7^2 \\ A=\pi*49 \\ A=153.94in^2 \end{gathered}`

Hence,

The Area of the circle is = 153.94 in²