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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 a Circle

         

What is the area of circle \( O \), if circle \( O \) has a radius of 14?

What is the radius of circle \( O \), if we know that circle \( O \) has an area of \( 289 \pi \) square units?

What is the area of a circle with circumference \(10\pi\)?

\( \Gamma_1 \) is a circle with area \( 27\). \(\Gamma_2 \) is a circle whose radius is 3 times the radius of \(\Gamma_1\). What is the area of \( \Gamma_2 \)?

What is the diameter of circle \( O \), if we know that circle \( O \) has an area of \( 36 \pi \) square units?

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