In a circle with radius 288 meters, an arc is intercepted by a central angle with measure 125 degrees. Find the arc length.*36,000 meters28,800 meters200pi meters100pi meters
Question
In a circle with radius 288 meters, an arc is intercepted by a central angle with measure 125 degrees. Find the arc length.*36,000 meters28,800 meters200pi meters100pi meters
Solution
The formula to find the length of an arc (s) in a circle is given by:
s = r * θ
where: r is the radius of the circle, θ is the angle in radians.
First, we need to convert the angle from degrees to radians. We know that 180 degrees is equal to π radians. So, 125 degrees is equal to (125/180)*π radians.
Now, we can substitute r = 288 meters and θ = (125/180)*π radians into the formula:
s = 288 * (125/180)*π s = 125π meters
So, the length of the arc is 125π meters.
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