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bur7ama1989
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Homework Statement
A circle of radius 7 inches is sliced vertically, parallel to the y-axis, into three pieces. Each piece has an equal area. What is the width, x-axis, of each piece?
Homework Equations
f(x)= +/- sqrt((r^2)-(x^2)) where "r" is the radius.
The Attempt at a Solution
My sign for the integral is $
Using the equation for a circle above I took advantage of the obvious symmetry about the x-axis to isolate the part of the circle above the x-axis relevant to the given radius.
g(x)= sqrt((7^2)-(x^2)).
My attempt was to first define the area as an integral from the origin until x=7. (I chose x=7 because of the symmetry about the y-axis.)
I(x)= 0->7 $sqrt((7^2)-(x^2))dx
Here is where I hit a wall. The prof tried explaining to the class about Pythagoras and I thought I understood but apparently I didn't. Any assistance or pushes in the right direction would be greatly appreciated.