Find the arc length on a circle with radius of 10 feet created by an angle of $\frac{2 \pi}{3}$ radians.
Answer
Final Answer: The arc length on a circle with a radius of 10 feet created by an angle of \(\frac{2 \pi}{3}\) radians is approximately \(\boxed{20.94}\) feet.
Step 1 ：Given a circle with a radius of 10 feet and an angle of \(\frac{2 \pi}{3}\) radians.
Step 2 ：The formula for the arc length of a circle is \(s = r \theta\), where \(s\) is the arc length, \(r\) is the radius of the circle, and \(\theta\) is the angle in radians.
Step 3 ：Substitute the given values into the formula: \(s = 10 \times \frac{2 \pi}{3}\).
Step 4 ：Solve the equation to find the arc length: \(s \approx 20.94\) feet.
Step 5 ：Final Answer: The arc length on a circle with a radius of 10 feet created by an angle of \(\frac{2 \pi}{3}\) radians is approximately \(\boxed{20.94}\) feet.
