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babymother [125]
3 years ago
10

The radius of a circle is 8 miles. What is the length of a 90° arc?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

12.56 miles

Step-by-step explanation:

l =  \frac{ \theta}{360 \degree}  \times 2\pi \: r \\  \\  = \frac{ 90 \degree}{360 \degree}  \times 2 \times 3.14 \times 8  \\  \\ = \frac{ 1}{4}  \times 16 \times 3.14   \\  \\  = 4 \times 3.14 \\  = 12.56 \: miles

Hence, length of arc = 12.56 miles

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