Question

The circle has center O. Its radius is 2 m, and the central angle a measures 70°. What is the area of the shaded region?Give the exact answer in terms of pi, and be sure to include the correct unit in your answer

Answer 1

We have the following:

We can calculate the shaded area of a circle is the following

`\begin{gathered} a=(\pi\cdot r^2\cdot\theta)/(2\pi) \\ r=2 \\ \theta=70=70\cdot(\pi)/(180)=(7)/(18)\pi \end{gathered}`

replacing:

`\begin{gathered} a=(\pi\cdot2^2\cdot(7)/(18)\pi)/(2\pi) \\ a=(7)/(9)\pi \end{gathered}`

The area is 7/9 pi m^2