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GRE Math: Circles Practice Test
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GRE Math: Circles Practice Test
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11 Questions

1.
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In the figure above, a circular pond is bordered by a garden with a uniform width of 2, represented by the shaded region. If the area of the circular pond is 81π, what is the area of the shaded region?
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If the radius of the circle above is 4, what is the length of side AB?
3.
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In the circle above, central angle AOB measures 120 degrees. If the radius of the circle is 3, what is the area of sector AOB?
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In the figure above, the measure of angle AOB is 120 degrees. If the radius of OB is x, then arc AB is what fraction of the area of sector AOB, in terms of x?
5.
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In the figure above, a square is inscribed in a circle whose area is 200π. What is the area of the square?
6.
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In the figure above, radius OB has a length of 4. What is the area of triangle ABC?
7.
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In the circle above, the length of arc AB is 3π. If the circle has an area of 16π, what is the measure of central angle AOB?
8.
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In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?
9. What is the circumference of a circle whose area is 49π?
10. What is the area of a circle whose circumference is π?
11. If the radius of the circle above is 6, then what is the area of the shaded region?