How is arc length calculated? What measurement needs to be used for the angle for the arc length formula? Provide an example.

Question

Moore

Mathematics

7 May, 11:42

How is arc length calculated? What measurement needs to be used for the angle for the arc length formula? Provide an example.

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Answers (2)

Know the Answer?

Shaniya Archer · Answer 1

i honestly don't know

Esperanza Blackburn · Answer 2

The radius and central angle are the key components for determining the length of the arc. It is known that the arc length is equal to the circumference for an angle equal to 360 degrees or 2π radians. L = r*central angle Therefore, the arc length is radius multiplied by the central angle (in radians).

example:

r = 10 m central angle = π/4 circumference of circle = 2πr = 20π m arc length = r*π/4 = 2.5π m