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Sunny_sXe [5.5K]
3 years ago
5

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)
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

5π or 15.71 inches

Step-by-step explanation:

Length of an arc = \frac{x}{360} × 2πr

Where x is the angle and r is the radius

so  \frac{90\\}{360} × 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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