Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places.
Radius r
Central Angle θ
15 inches
123°

A)s ≈ 32.20 inches
B)s ≈ 15.68 inches
C)s ≈ 10.25 inches
D)s ≈ 34.20 inches
E)s ≈ 30.20 inches

Question

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. ​
Radius r
Central Angle θ
15 inches
​123°
​
A)s ≈ 32.20 inches
B)s ≈ 15.68 inches
C)s ≈ 10.25 inches
D)s ≈ 34.20 inches
E)s ≈ 30.20 inches

Quizplus · Accepted Answer

The length of an arc, $s$, on a circle can be calculated using the formula $s = r\theta$ where $r$ is the radius and $\theta$ is the central angle in radians. First, convert the central angle from degrees to radians: $123° = 123 \times \frac{\pi}{180} = 2.14675$ radians. Then, calculate the arc length: $s = 15 \times 2.14675 \approx 32.20$ inches.

Find the Length of the Arc on a Circle of Radius