A chord with a length of 9 runs from pi/12 to pi/8 radians on a circle. What is the area of the circle?

1 Answer
Jan 3, 2017

About 14872.2800 un^2

Explanation:

The formula used to find the length of a chord is 2r*sin(theta/2)=l where r is the radius, theta is the measure of the arc, and l is the length of the chord.
One circle has 2pi radians. If you take the difference of pi/12 and pi/8, you should get pi/24. This is your theta. Now you can plug in what you know and solve for r. r~~68.80405. You can plug that into the equation for the area of a circle, A=pir^2 which yields about 14872.2800.