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.
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.
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