What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth. A. 5.6 in. B. 6.3 in. C. 14.3 in. D. 25.1 in.

Question

asked Jun 24, 2020 180k views

2 Answers

Marianov · Answer 1 · 2020-06-27T13:52:03+0000

For this case we have that by definition, the arc length is given by:

$Al = 2 \pi * r *\frac {a} {360}$

Where:

r: It's the radio

a: It is the angle of the sector

Then, according to the data we have:

$Al = 2 \pi * 8 * \frac {45} {360}\\Al = 2 * 3.14 * 8 * \frac {45} {360}\\Al = 50.24 * \frac {45} {360}\\Al = 6.28$

Rounding we have 6.3in

Answer:

Option B