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For what value of c will the circle with equation x^2 + 6x + y^2 - y + c = 0 have a radius of length 4?

 Dec 21, 2020
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Complete the square for x and y to get tstandard circle form equation

(x+3)^2     +     (y - 1/2)^2      =   9 + 1/4   - c    

9 + 1/4 - c must equal r^2 = 16

       c = - 6.75


 

 Dec 21, 2020

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