ACT Math : How to find the length of a chord

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Find The Length Of A Chord

In the figure below,  and  are radii of the circle. If the radius of the circle is 8 units, how long, in units, is chord ?

Circle

Possible Answers:

Correct answer:

Explanation:

The radii and the chord form right triangle . Use the Pythagorean Theorem to find the length of .

 

Example Question #2 : How To Find The Length Of A Chord

Circle_chord

The radius of the above circle is .  is the center of the circle. Find the length of chord 

Possible Answers:

Correct answer:

Explanation:

The radii of the circle and chord  form a right triangle with  as the hypotenuse. We can use the Pythagorean Theorem to find .

Example Question #3 : Chords

A circle has a maximum chord length of  inches. What is its radius in inches?

Possible Answers:

Correct answer:

Explanation:

Keep in mind that the largest possible chord of a circle is its diameter.

This means that the diameter of the circle is inches, which means an -inch radius.

Remember that ,

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