Calculating the length of a radius

Practice Questions

GMAT Quantitative Reasoning › Calculating the length of a radius

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1

A arc of a circle measures . Give the radius of this circle.

2

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

3

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

4

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?

5

Two circles in the same plane have the same center. The larger circle has radius 10; the area of the region between the circles is . What is the radius of the smaller circle?

6

Two circles in the same plane have the same center. The smaller circle has radius 10; the area of the region between the circles is . What is the radius of the larger circle?

7

If the circumference of a circle is , what is its radius?

8

If the area of a circle is , what is its radius?

9

A square and a circle have the same area. What is the ratio of the length of one side of the square to the radius of the circle?

10

Given that the area of a circle is , determine the radius.

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