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If circumference of a circle x^2 +y^2 -6x+2y+c =0 be 6pie units, find c

1 Answer

9 votes

Circumference = 2× pie × r

Circumference = 6pie

Thus ;

2pie × r = 6pie

r = 3

____________________________________________


r = (1)/(2) \sqrt{ ({ - 6})^(2) + {2}^(2) - c} \\


3 = (1)/(2) √( 36 + 4 - c) \\


6 = √(40 - c)


( {6})^(2) = ({ √(40 - c) })^(2)


36 = 40 - c


c = 4

User MSquare
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