Question

Find the area, to the nearest hundredth, of the circle with a circumference of 43.96 inches. Use 3.14 for π.

Answer 1

Given

circumference of 43.96 inches

3.14 for π.

Solution

`\begin{gathered} Circumference\text{ of a circle=2}\pi r \\ 43.96=2*3.14* r \\ 43.96=6.28r \\ Divide\text{ both sides by 6.68} \\ r=7 \\ \end{gathered}`

Now the area

`\begin{gathered} Area\text{ of a circle=}\pi r^2 \\ Area\text{ of the circle=3.14}*7^2 \\ \\ Area\text{ of the circle=153.86in}^2 \end{gathered}`

The final answer

The area, to the nearest hundredth, of the circle with a circumference of 43.96 inches. Use 3.14 for π is

`153.86in^2`