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Im circle C, BC = 6 and m

Im circle C, BC = 6 and m-example-1

1 Answer

3 votes

Step 1

The shaded part is a sector.

Step 2

Angle subtend = 120 degrees

radius r = 6

Step 3


\begin{gathered} Area\text{ of a sector = }(\theta)/(360)\text{ }*\text{ }\pi r^2 \\ =\text{ }(120)/(360)\text{ }*\text{ }\pi\text{ }*6^2 \\ =\text{ }\frac{120\text{ }*\text{ }\pi\text{ }*\text{ 36}}{360} \\ =\text{ }(4320\pi)/(360) \\ =\text{ 12}\pi \end{gathered}

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