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Find the length of the​ arc, s, on a circle of radius r intercepted by a central angle 0. Express the arc length in terms of π. Then round your answer to two decimal places. ​Radius, r​ = 10 ​inches; Central​ angle, 0 ​= 90(degrees)

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Answer:

5π or 15.71 inches

Step-by-step explanation:

Length of an arc = [tex]\frac{x}{360}[/tex] × 2πr

Where x is the angle and r is the radius

so  [tex]\frac{90\\}{360}[/tex] × 2 × π × 10

0.25 × 2 × π × 10

Arc length = 5π inches (answer in terms of π)

= 15.71 inches (answer in two decimal places)

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