Question

A circle has a radius of 12 feet. (a) What is the area of the circle? (b) What is the area of five sectors of the circle if it is divided into 8 equal sectors?

Answer 1

We were given the following information:

This is a circle

Radius is 12 feet

a) The area of the circle is given by:

`\begin{gathered} Area=\pi r^2 \\ r=12ft \\ \pi=3.14 \\ \Rightarrow Area=3.14*12^2 \\ Area=452.16ft^2 \\ \\ \therefore Area=452.16ft^2 \end{gathered}`

b) The area of five sectors out of 8 equal sectors is given by:

`\begin{gathered} Area=\theta\pi r^2 \\ \theta=(5)/(8) \\ \pi=3.14 \\ r=12ft \\ Area=(5)/(8)*3.14*12^2 \\ Area=282.6ft^2 \\ \\ \therefore Area=282.6ft^2 \end{gathered}`