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 = 143.24there, theta is equal to 143.24°