How to find ARC length im Geometry? - ProProfs Discuss
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How to find ARC length im Geometry?

Asked by Marlon , Last updated: Mar 26, 2024

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E. Austin

E. Austin

E. Austin
E. Austin

Answered Sep 07, 2020

You can find the length of an arc when the central angle is given in degrees using these steps.

1. Discover the formula for finding arc length: the formula is simply given as arc length = 2πr(theta/360).

2. The value of the radius length should be measurable or given. Hence, substitute the value into the formula. P

3. The value of the central angle should also be given or measurable. So, insert this also in place of theta into the formula.

4. At this point, separate your workings into two entities, then calculate them separately. The first one is the 2πr, while the second one is the (theta/360) part.

5. Calculate further by multiplying the answers you obtained for the two entities together. The answer obtained is the value of your arc length.

However, if the central angle is given in radians, you are to follow these short and simple steps.

1. Setup your formula, which is s= r × theta, where s is the arc length, and r is the central angle in radians.

2. Substitute your parameters into the formula.

3. Multiply the value of r by the value of theta. Hence, your answer is the arc length.

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