Calculating the area of a circle

Practice Questions

GMAT Quantitative Reasoning › Calculating the area of a circle

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1

Two circles are constructed; one is inscribed inside a given equilateral triangle, and the other is circumscribed about the same triangle.

The circumscribed circle has circumference . Give the area of the inscribed circle.

2

Two circles are constructed; one is inscribed inside a given regular hexagon, and the other is circumscribed about the same hexagon.

The circumscribed circle has circumference . Give the area of the inscribed circle.

3

Two circles are constructed; one is inscribed inside a given regular hexagon, and the other is circumscribed about the same hexagon.

The inscribed circle has circumference . Give the area of the circumscribed circle.

4

Two circles are constructed; one is inscribed inside a given square, and the other is circumscribed about the same square.

The circumscribed circle has circumference . Give the area of the inscribed circle.

5

What is the area of a circle with a diameter of ?

6

Two circles are constructed; one is inscribed inside a given square, and the other is circumscribed about the same square.

The inscribed circle has circumference . Give the area of the circumscribed circle.

7

Two circles are constructed; one is inscribed inside a given equilateral triangle, and the other is circumscribed about the same triangle.

The inscribed circle has circumference . Give the area of the circumscribed circle.

8

If the pitcher plant Sarracenia purpurea has a circular opening with a circumference of 6 inches, what is the area of the opening?

9

A circle on the coordinate plane is defined by the equation . What is the area of the circle?

10

What is the area of a circle with a diameter of ?

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