Circles

Practice Questions

GMAT Quantitative Reasoning › Circles

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1

The points and form a line which passes through the center of circle Q. Both points are on circle Q.

To the nearest hundreth, what is the length of the radius of circle Q?

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

The chord of a central angle of a circle with area has what length?

4

The arc of a circle measures and has length . Give the length of the chord .

5

Calculate the length of a chord in a circle with a radius of , given that the perpendicular distance from the center to the chord is .

6

A given circle has an area of . What is the length of its diameter?

7

Sector

The circle in the above diagram has center . Give the area of the shaded sector.

Statement 1: Arc has length .

Statement 2: Arc has length .

8

What percentage of a circle is a sector if the angle of the sector is ?

9

The arc of a circle measures . The chord of the arc, , has length . Give the length of the radius of the circle.

10

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.

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