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what is the arc length when the central angle measures 60 degrees and the radius is 15 inches giving in terms of 3.14

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To solve this problem, we make use of the formula for arc length:

s = r θ

where the variables are,

s = the length of the arc = unknown value

r = radius of the circle = 15 inches

θ = the angle in radians = 60 degrees

Since the given angle is in units of degrees, therefore we need to convert this first into rad:

θ = 60° (π / 180°)

θ = π / 3

Going back to the arc length formula:

s = 15 inches (π / 3)

s = 5 π inches

Answer:

5 π inches

User Jan Koch
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