# Intermediate Geometry : How to find the length of an arc

## Example Questions

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### Example Question #91 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #92 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #93 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #94 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #95 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #96 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #97 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #98 : Intermediate Geometry

Find the length of an arc if the radius of the circle is  and the measurement of the central angle is  degrees.

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 #99 : Intermediate Geometry

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

The measurement of  cannot be determined with the information given.

Explanation:

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

Then,  must also be  degrees.

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