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olya-2409 [2.1K]
3 years ago
14

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 5 × \frac{1}{6}

     = \frac{10\pi }{6} ≈ 5.24 in (2 dec. places )

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