Question

Find the area of the shaded circles. Leave your answer in terms of pi or round to the nearest 10th

Answer 1

step 1

Find out the area of the complete circle

`A=\pi\cdot r^2`

we have

r=10 units

substitute

`\begin{gathered} A=\pi\cdot10^2 \\ A=100\pi\text{ unit2} \end{gathered}`

Remember that the area of the complete circle subtends a central angle of 360 degrees

so

Applying proportion

Find out the area of the circle with a central angle of 330 degrees

100pi/360=x/330

solve for x

x=(100pi/360)*330

x=91.67pi unit2