If the arc length shown is 15 feet, find theta to the nearest hundredth of a degree

Arc length is a part of the circumference which subtends a given angle to the center of a given circle. The arc length is calculated by θ/360 (2πr) where 2πr is the circumference of the circle.

In this case, the circumference is 12π.

Thus, 15 = θ/360 (12π), solving for theta,

θ = (15/12π) * 360

θ = 143.24

There, theta is equal to 143.24°