Find the length of the arc,S,on a circle of radius 6 meters intercepted by a central angle of 90°.Round to two decimal places.
A)S = 9.42 meters
B)S = 12.57 meters
C)S = 18.85 meters
D)S = 6.28 meters
E)S = 7.54 meters

Question

Quizplus · Accepted Answer

The length of an arc (S) can be calculated using the formula S = rθ, where r is the radius and θ is the central angle in radians. First, convert 90° to radians: 90° * (π/180) = π/2 radians. Then, S = 6 * π/2 = 3π ≈ 9.42 meters.

Find the Length of the Arc,S,on a Circle of Radius