The Length of arc PS in the circle given is calculated as approximately 31.49 ft.
How to find the length of an arc?
To find the length of an arc on a circle, multiply the measure of the central angle (in radians) by the radius of the circle or use the formula below:
∅/360 * 2πr.
In the image given below, we are asked to find the length of arc PS in the circle. Therefore, we have:
∅ (m∠PTS) = 180 - 16
∅ = 164°
r = TR = 11 ft
Plug in the values:
Length of arc PS = 164/360 * 2 * π * 11
Length of arc PS ≈ 31.49 ft