Question

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.
​

Answer 1

B 6.3

Explanation:

r = 8

l = 2*3.14*r

l = 50.24

s=l/360*45

s≈6.3

Answer 2

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