A chord with a length of $15$ runs from $pi/4$ to $pi/3$ radians on a circle. What is the area of the circle?

Question

1495 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-25T03:03:11

Area of the circle = 10,372.3476

Chord length = 15
$theta = (pi/3) - (pi/4) = pi / 12$
$R = (c/2) / sin (theta/2) = (15/2)/sin (pi/24) = 57.4597$

Area of the circle = $pi R^2 = pi* 57.4597^2 = 10,372.3476$

enter image source here

A chord with a length of 15 15 runs from pi/4 pi/4 to pi/3 pi/3 radians on a circle. What is the area of the circle?