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Properties of Circles

What is pi? If the area of a circle is 49π, what is its circumference? If a circle is inscribed in a square, what is the ratio of the areas of the circle and the square?

Area of Sector

         

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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