Problem

Circle O shown below has an arc of length 29 inches subtended by an angle of 2.6 radians. Find the length of the radius, x, to the nearest tenth of an inch.

Answer

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Answer

Final Answer: The length of the radius, x, to the nearest tenth of an inch is 11.2 inches.

Steps

Step 1 ：Given that the length of the arc, s, is 29 inches and the angle in radians, θ, is 2.6 radians.

Step 2 ：The formula for the length of an arc is s=rθ, where r is the radius of the circle. We can rearrange this formula to solve for r: r=sθ.

Step 3 ：Substitute the given values into the formula to find r: r=292.6.

Step 4 ：Calculate the value of r to get approximately 11.153846153846153.

Step 5 ：Round the value of r to the nearest tenth of an inch to get 11.2 inches.

Step 6 ：Final Answer: The length of the radius, x, to the nearest tenth of an inch is 11.2 inches.

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