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Geometry

# Circles - Sector Area

In the above sector, the central angle is $$0.76$$ radians and the radius is $$8$$. What is the area of the sector?

A circular sector with a radius of 10 has an area of 200. What is the central angle (in radians)?

The above figure shows a quarter circle that is covered by a right triangle. If the radius of the circle is $$16$$, what is the area of the shaded region?

$$\Gamma$$ is a circle with radius $$14$$ and center $$O$$. $$A$$ and $$B$$ are points on $$\Gamma$$ such that the arc length $$\widehat{AB} = 14$$. What is the area of sector $$AOB$$?

A circular sector with central angle 5 radians has an area of 250. What is its radius?

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