Circumference and Arc Length

Circumference and Arc Length

By Jordan Feierabend

​Using the Formula for Circumference

The circumference of a circle is the distance around the circle.

The circumference C of a circle is C = πd or C = 2πr, where d is the diameter of the circle and r is the radius of the circle.​

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Find the circumference of a circle with a radius of 9 centimeters?

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Find the the radius of a circle with a circumference of 26 meters?

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Find the circumference of a circle with a diameter of 5 inches.

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Find the diameter of a circle with a circumference of 17 feet.

Using Arc Lengths to Find Measures

An arc length is a portion of the circumference of a circle. You can use the measure of the arc (in degrees) to find its length (in linear units).

In a circle, the ratio of the length of a given arc to the circumference is equal to the ratio of the measure of the arc to 360°. ​

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Using Arc Lengths to Find Measures

What this video to view examples

of the following problems!​

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Find the arc length of AB.

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Find the circumference of circle C.

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Find the measure of arc RS.

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Find the arc length of PQ.

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Find the circumference of circle N.

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Find the radius of circle G.

​Measuring Angles in Radians

Watch this video to see examples of

how to measure angles in radians!.

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Multiple Choice

Convert 45 degrees to radians.

• $$\frac{\pi}{4}$$  

• $$\frac{4}{\pi}$$  

• $$\frac{4\pi}{5}$$  

• $$\frac{5}{4\pi}$$  

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Convert $\frac{3\pi}{2}$   radians to degrees. Round to the nearest whole number.

Multiple Choice

Convert 15 degrees to radians.

• $$\frac{\pi}{12}$$  

• $$\frac{\pi}{5}$$

• $$\frac{4\pi}{3}$$  

• $$\frac{5\pi}{3}$$  

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Convert $\frac{4\pi}{3}$   radians to degrees. Round to the nearest whole number.