rishishahnepal rishishahnepal
  • 13-04-2022
  • Mathematics
contestada

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

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hnori22003
hnori22003 hnori22003
  • 13-04-2022

Circumference = 2× pie × r

Circumference = 6pie

Thus ;

2pie × r = 6pie

r = 3

____________________________________________

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

[tex]3 = \frac{1}{2} \sqrt{ 36 + 4 - c} \\ [/tex]

[tex]6 = \sqrt{40 - c} [/tex]

[tex]( {6})^{2} = ({ \sqrt{40 - c} })^{2} [/tex]

[tex]36 = 40 - c[/tex]

[tex]c = 4[/tex]

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