justametaphor27 justametaphor27
  • 02-08-2018
  • Mathematics
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Write the standard equation of the circle with center (-3, 5) and a diameter of 10.



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Calidris Calidris
  • 02-08-2018

The general equation of circle with center (a,b) and radius r is given by

[tex] (x-a)^2+(y-b)^2=r^2 [/tex]

We know that radius = diameter /2 =10/2=5

Thus the equation of circle with center (-3,5) and radius 5 is given by

[tex] (x-(-3))^2+(y-5)^2=5^2 [/tex]

[tex] (x+3)^2+(y-5)^2=25 [/tex]

When expanding this, we get

x^2+6x+9+y^2-10y+25=25

x^2+y^2+6x-10y+9=0

This is the required equation of circle.

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