A circle has a chord that goes from ( pi)/2 to (15 pi) / 8 radians on the circle. If the area of the circle is 48 pi , what is the length of the chord?

1 Answer
sankarankalyanam
Apr 18, 2018

color(green)("Chord Length " d ~~ 12.8

Explanation:

![http://www.engineeringexpert.net/Engineering-Expert-Witness-Blog/determining-chord-length-on-circle-earth](useruploads.socratic.org)

"Given : " delta = (15pi)/8 - pi / 2 = (11pi) / 8

"Area of the circle " A = pi R^2 = 48 pi

R = (sqrt 48 *cancel pi ) /cancel pi = sqrt 48 = 4 sqrt3

"Chord Length " d = 2 * R sin delta = 2 * 4 sqrt3 * sin ((11pi)/8)

d = 8 sqrt 3 * sin ((11pi) / 8) ~~ 12.8

Related questions
See all questions in Circle Arcs and Sectors
Impact of this question
1486 views around the world
You can reuse this answer
Creative Commons License