Question

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

Answer 1

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