Intermediate Geometry : How to find the length of an arc

Example Questions

Example Question #81 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #82 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #83 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #84 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #85 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #86 : Plane Geometry

The radius of a circle is . Find the length of an arc if it has a measure of  degrees.

Explanation:

Recall that the length of an arc is merely a part of the circle's circumference.

We can then write the following equation to find the length of an arc:

Plug in the values of the arc angle measure and the radius to find the length of the arc.

Example Question #87 : Plane Geometry

Find the length of the arc if the radius of a circle is  and the measure 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 #88 : Plane 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 #89 : Plane 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 #90 : Plane Geometry

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