For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 2, r = 5 inches.

A)s = 10 inches
B)s = 7 inches
C)s = 14.3 inches
D)s = 22.1 inches
E)s = 6 inches

Question

For the problem below, θ  is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 2, r = 5  inches.
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A)s = 10 inches
B)s = 7 inches
C)s = 14.3 inches
D)s = 22.1 inches
E)s = 6 inches

Quizplus · Accepted Answer

The length of an arc, $s$, in a circle is given by the formula $s = r\theta$, where $r$ is the radius and $\theta$ is the central angle in radians. Given $\theta = 2$ radians and $r = 5$ inches, $s = 5 \times 2 = 10$ inches.

For the Problem Below, θ Is a Central Angle in a Circle