Find the measure (in radians) of a central angle, $\theta$, that intercepts an arc on a circle with radius 3/8 mm and arc length 9/7 mm.
A) 7/ 24 radians
B) 24/ 7 radians
C) 93/ 56 radians
D) 56/ 93 radians

Question

Quizplus · Accepted Answer

The formula for the arc length $ s $ is $ s = r\theta $, where $ r $ is the radius and $ \theta $ is the central angle in radians. Substituting the given values, $ 9/7 = (3/8)\theta $. Solving for $ \theta $, we get $ \theta = (9/7) \times (8/3) = 24/7 $ radians.

Find the Measure (In Radians) of a Central Angle θ\thetaθ , That Intercepts an Arc on a Circle with Radius

Find the Measure (In Radians) of a Central Angle $\theta$ , That Intercepts an Arc on a Circle with Radius