Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-A pendulum swings through an angle of 20° each second. If the pendulum is 25 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.
A) 8.73 inches
B) 11.16 inches
C) 10.02 inches
D) 6.88 inches

Question

Quizplus · Accepted Answer

The length of the arc is given by the formula s = rθ, where s is the length of the arc, r is the radius of the circle, and θ is the central angle in radians. In this case, r = 25 inches and θ = 20° = 20π/180 radians. So, s = 25 * 20π/180 = 8.73 inches (rounded to two decimal places).

Find the Length of the Arc on a Circle of Radius