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1. The problem statement, all variables and given/known data

find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 180.

2. Relevant equations

Do I need to use the formula for the area of the circle?

3. The attempt at a solution

I graphed both functions and I can clearly see that they are symmetrical parabolas one upward and one downward parabolas.

Then, I tried to work backwards and find the integral. [tex]\int[/tex](2x[tex]^{}2[/tex]-2c[tex]^{}2[/tex])dx

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Area problem

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