Question

In circle K with m/JKL = 30 and JK = 15 units, find the length of arc JL.

Round to the nearest hundredth.

Answer 1

7.85

Explanation:

Arc Length Formula

`\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})`,
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

`\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) ((30^\circ)/(360^\circ))\\\text{arc length} = (5)/(2) \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}`