Problem

In a circle with radius 0.9 , an angle intercepts an arc of length 3.6. Find the angle in radians to the nearest 10 th.

Answer

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Answer

\(\boxed{4.0}\) is the angle in radians to the nearest 10th.

Steps

Step 1 ：Given radius (r) = 0.9 and arc length (s) = 3.6, we can use the formula s = r * θ to find the angle (θ) in radians.

Step 2 ：Solve for θ: θ = s / r = \(\frac{3.6}{0.9}\)

Step 3 ：Calculate the value of θ: θ = 4.0

Step 4 ：\(\boxed{4.0}\) is the angle in radians to the nearest 10th.

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