Find the radian measure of the central angle of a circle of radius r=60 inches that intercepts an arc of length s = 130 inches
The radian measure of an angle is given by the formula s = rθ, where s is the length of the intercepted arc, r is the radius of the circle, and θ is the radian measure of the angle.
In this case, r = 60 inches and s = 130 inches. Plugging these values into the formula, we have:
130 = 60θ
Dividing both sides of the equation by 60, we get:
θ = 130/60
Simplifying the expression, we find:
θ = 2.1667 radians
Therefore, the radian measure of the central angle is approximately 2.1667 radians.