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

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 mcentral angle= π/4circumference of circle= 2πr= 20π marc length= r*π/4 = 2.5π m

Same length is comparing because it’s saying its the same and not different