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Properties of Circles

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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