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.

Related questions
See all questions in Circumference and Area of Circles
Impact of this question
1197 views around the world
You can reuse this answer
Creative Commons License