Question

Question 1A circular mirror has a circumference of 30(pi). What is the area of the mirror?• 30(pi) square inches• 60(pi) square inches• 225(pi) square inches• 900(pi) square inchesQuestion 2A circle has a radius of 6 meters, as shown What is the area, in square meters, of the circle?

Answer 1

First step is to know the equations for circumference and area of a circle.

`\begin{gathered} P=2\pi r \\ A=\pi\cdot r^2 \end{gathered}`

Given the circumference, it is possible to find the radius by clearing it from the equation.

`\begin{gathered} 30\pi=2\pi r \\ (30\pi)/(2\pi)=r \\ 15=r \end{gathered}`

Then find the area using the equation and the estimated radius

`\begin{gathered} A=\pi\cdot15^2 \\ A=225\pi \end{gathered}`

The answer is 225 pi square inches