Question

4.)If the circumference of a circle is 287 inches, then find its approximate area.

Answer 1

The circumference is given by:

`\begin{gathered} C=2\pi r \\ so\colon \\ C=28\pi \\ 28\pi=2\pi r \\ r=(28\pi)/(2\pi) \\ r=14 \end{gathered}`

Since we know the radius, we can find the area as follows:

`\begin{gathered} A=\pi r^2 \\ A=\pi(14)^2 \\ A=196\pi \\ A\approx615.75in^2 \end{gathered}`

Answer:

615.75 in²