What is the equation of a circle with its center at (10, -4) and a radius of 4?

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Answer 1 · 2018-05-10T15:22:51

#x^2+y^2-20x+8y+100=0#

We know that,

The equation of the circle with center #(h,k) and# radius #r# ,is

#color(red)((x-h)^2+(y-k)^2=r^2#

We have, centre #(10,-4) and # radius #r=4#

So.

#(x-10)^2+(y-(-4))^2=(4)^2#

#(x-10)^2+(y+4)^2=16#

#x^2-20x+100+y^2+8y+16=16#

#x^2+y^2-20x+8y+100=0#