Question

Find the arc length along a circle of radius 16 units subtended by an angle of 5π6 radians. round your answer to the nearest tenth, and do not include the units in your answer.

Answer 1

The arc length along the circle with a radius of 16 units and subtended by an angle of 5π/6 radians is approximately 41.9 units.

Step-by-step explanation:

The formula to find the arc length along a circle is given by:

arc length = radius * angle in radians

In this case, the radius is 16 units and the angle is 5π/6 radians. Substituting these values into the formula, we get:

arc length = 16 * 5π/6

arc length ≈ 41.9 units (rounded to the nearest tenth).