THE usual text-book formula for the radial distance of the centroid of a circular arc of radius r and length 2ra, may be converted into a useful result by expressing the position of the centroid ...

It also separates the circle into two segments - the major segment and the minor segment. The formula to calculate the arc length is: Arc length = angle 360 ∘ × π d ...

The perimeter is made up of an arc and two straight sides. Each straight side is a radius of the circle, r = 4 A r c l e n g t h = θ 360 × π d θ = 135° d = 2 x r = 8 ...