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More Lessons for High School Regents Exam

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED.

How to find the arc length of a a circle?

The following diagram gives the formulas to calculate the arc length of a circle. Scroll down the page for more examples and solutions.

**Arc Length**

Commonly confused with arc measure, arc length is the distance between the endpoints along the circle. Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle and calculated that way: find the circumference of the circle and multiply by the measure of the arc divided by 360°.

**How to Find Arc Length: Degrees**

Angle measured in Degrees

How to use the formula for calculating arc length?

How to find the perimeter of a sector?

**Arc Length: Radians**

How to use the formula for calculating arc length when the angle is given in radians?

**Arc Length Theorem**

How to Find the Length of an Arc

This video lesson discusses how to find the length of an arc. First, the arc length theorem is reviewed and explained. An example of find the length of a major arc is modeled. The given information is the measure of the related minor arc and the radius of the circle.

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