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

Find the area of the shaded circles. Leave your answer in terms of pi or round to-example-1
User Lizzett
by
2.8k points

1 Answer

17 votes
17 votes

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

User Irteza Asad
by
2.9k points