Problem

Find the arc length on a circle with radius of 10 feet created by an angle of 2π3 radians.

Answer

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Answer

Final Answer: The arc length on a circle with a radius of 10 feet created by an angle of 2π3 radians is approximately 20.94 feet.

Steps

Step 1 ：Given a circle with a radius of 10 feet and an angle of 2π3 radians.

Step 2 ：The formula for the arc length of a circle is s=rθ, where s is the arc length, r is the radius of the circle, and θ is the angle in radians.

Step 3 ：Substitute the given values into the formula: s=10×2π3.

Step 4 ：Solve the equation to find the arc length: s≈20.94 feet.

Step 5 ：Final Answer: The arc length on a circle with a radius of 10 feet created by an angle of 2π3 radians is approximately 20.94 feet.

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