Question

Find the length of AB.

00240°
AB = [? ]m
140°
8 m
B
Round your answer to the nearest hundredth.

Answer 1

19.54 m

Explanation:

`l(\widehat {AB}) = ( \theta)/(360 \degree) * 2 \pi r \\ \\l(\widehat {AB}) = (140 \degree)/(360 \degree) * 2 * 3.14 * 8 \\ \\ l(\widehat {AB}) = (7)/(18) * 2 * 3.14 * 8 \\ \\ l(\widehat {AB}) = (351.68)/(18) \\ \\ l(\widehat {AB}) = 19.5377778 \\ \\ l(\widehat {AB}) \approx 19.54 \: m`