# Formula for the length of an arc of a circle

Posted By Admin @ September 03, 2022

#### Question:

The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measure of the central angle of the arc. Solve for r. r=xL720π r=720πxL r=πx180L r=180Lπx

The formula for length of an arc on a circle is given by the formula:

,

where 'r' is the radius of the circle and 'x' is the measure of the central angle of the arc.

We have to determine the value of radius 'r'.

Since,

By Cross multiplication, we get

Therefore, the radius 'r' is given by .

Option 4 is the correct answer.

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