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In a circle with radius 2.9, an angle measuring 1.8 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Question

In a circle with radius 2.9, an angle measuring 1.8 radians intercepts an arc. Find the length of the arc to the nearest 10th.

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Solution

Sure, here's how you can find the length of the arc:

Step 1: Understand the formula The formula to find the length of an arc (s) in a circle is s = r * θ, where r is the radius of the circle and θ is the angle in radians.

Step 2: Plug in the given values In this case, the radius (r) is 2.9 and the angle (θ) is 1.8 radians. So, you can substitute these values into the formula:

s = 2.9 * 1.8

Step 3: Calculate Multiply 2.9 by 1.8 to get the length of the arc.

s = 5.2 (rounded to the nearest tenth)

So, the length of the arc is approximately 5.2 units.

This problem has been solved

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