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 x.

Question

Mathematics

Alonzo Matthews

6 January, 10:18

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 x.

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Brady Moreno · Answer 1

The formula for finding the length of an arc on a circle should be L = 2πr (x/360). In this sense, to solve for x we need to isolate x on one side of the equation. So start with multiplying both sides by 360. That would give us

360 L = 2πr (x)

Now divide both sides by 2πr:

360L / (2πr) = x

Thus, x = 360L / (2πr).