Answer has to be in exact form.Find the area of a segment formed by a chord 8" long in a circle with radius of 8".

1 answer

look at the triangle formed by the chord and the radii.
Don't you have an equilateral triangle ?
That would make the central angle = 60°
So the area of the SECTOR is 1/6 of the area of the circle.
If you subtract the area of the equilateral triangle you would be left with the area of the segment

In your previous post, I showed you how to find the height of such a triangle.
So the problem should be easy for you now.
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