QUESTION \( 2 \cdot 1 \) POINT Find the arc length along a circle of radius 16 units subtended by an angle of \( \frac{7 \pi}{6} \) radians. Round your answer to the nearest tenth, and do not include the units in your answer.

To find the arc length along a circle, we can use the formula: \[ \text{Arc Length} = \text{Radius} \times \text{Angle in Radians} \] Given: - Radius = 16 units - Angle = \( \frac{7 \pi}{6} \) radians Substitute the values into the formula: \[ \text{Arc Length} = 16 \times \frac{7 \pi}{6} \] Now, we can calculate the arc length by multiplying the radius by the angle in radians. Calculate the value by following steps: - step0: Calculate: \(16\times \frac{7\pi }{6}\) - step1: Reduce the numbers: \(8\times \frac{7\pi }{3}\) - step2: Multiply: \(\frac{8\times 7\pi }{3}\) - step3: Multiply: \(\frac{56\pi }{3}\) The arc length along the circle is approximately 58.6 units when rounded to the nearest tenth.