Calculating the length of a chord

Practice Questions

GMAT Quantitative Reasoning › Calculating the length of a chord

Questions

9

1

The chord of a $60^{\circ }$ central angle of a circle with area $40 \pi$ has what length?

2

The arc $\widehat{AB}$ of a circle measures $90^{\circ }$ and has length . Give the length of the chord $\overline{AB}$ .

3

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 .

4

The chord of a $60^{\circ }$ central angle of a circle with circumference $90 \pi$ has what length?

5

The chord of a $120^{\circ }$ central angle of a circle with area $32 \pi$ has what length?

6

Consider the Circle :

Circle3

(Figure not drawn to scale.)

If $\angle BOX$ is a $90^{\circ}$ angle, what is the measure of segment ?

7

The chord of a $90^{\circ }$ central angle of a circle with area $50 \pi$ has what length?

8

The chord of a $90^{\circ }$ central angle of a circle with circumference $60 \pi$ has what length?

9

The chord of a $120^{\circ }$ central angle of a circle with circumference $40 \pi$ has what length?

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