SOLUTION: What is the area of a sector of a circle which has a diameter of 10 in, if the length of the arc is 10in?

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Question 75247: What is the area of a sector of a circle which has a diameter of 10 in, if the length of the arc is 10in?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the arc length is 10 in and the radius is 5 in (I took half of the 10 in diameter), we can use this to find the angle by using the arc length formula:
Where s is the arc length. Plug in r=5 and S=10 to solve for


So the angle is 2 radians. Now use this to find the area by using this formula:
Plug in r=5 and


So the area of the sector is 100 square inches