matthew523
matthew523 matthew523
  • 16-04-2020
  • Mathematics
contestada

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

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Hrishii
Hrishii Hrishii
  • 16-04-2020

Answer:

12.56 miles

Step-by-step explanation:

[tex]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[/tex]

Hence, length of arc = 12.56 miles

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