How to find the length of a chord

Practice Questions

ISEE Upper Level Mathematics Achievement › How to find the length of a chord

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1

Chords

Figure NOT drawn to scale

In the above diagram, evaluate .

2

Chords

Figure NOT drawn to scale

In the figure above, evaluate .

3

Chords

Figure NOT drawn to scale

In the above diagram, evaluate .

4

Secant

In the above figure, is a tangent to the circle.

Evaluate .

5

Secant

In the above figure, is a tangent to the circle.

Evaluate .

6

Secant

Figure NOT drawn to scale

In the above figure, is a tangent to the circle.

Evaluate .

7

Which equation is the formula for chord length?

Note: is the radius of the circle, and is the angle cut by the chord.

8

The radius of a circle is , and the perpendicular distance from a chord to the circle center is . Give the chord length.

9

Give the length of the chord of a central angle of a circle with radius 20.

10

A central angle of a circle intercepts an arc of length ; it also has a chord. What is the length of that chord?

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