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
Miriam G.
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 2#pi# 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.

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