Intermediate Geometry : How to find the length of an arc

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #21 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #22 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #23 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #24 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #25 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #26 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #27 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #28 :How To Find The Length Of An Arc

Find the length of an arc if the radius of the circle isand the measurement of the central angle isdegrees.

Possible Answers:

Correct answer:

Explanation:

An arc is just a piece—or a fraction—of a circle's circumference. Use the following formula to find the length of an arc:

Substitute in the given values for the central angle and the radius.

Solve.

Example Question #29 :How To Find The Length Of An Arc

In the figure below,. Ifisdegrees, in degrees, what is the measure of?

1

Possible Answers:

The measurement ofcannot be determined with the information given.

Correct answer:

Explanation:

Recall that when chords are parallel, the arcs that are intercepted are congruent. Thus,.

Then,must also bedegrees.

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