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find the equation of the circle with the center (1,4)and radius is 5?


Sagot :

C:(1,4)
r=5

Formula for the equation of the circle:
(x-h)²+(y-k)²=r
h is the x coordinate of the center and k is the y coordinate of the center
(x-1)²+(y-4)²=5²
x²-2x+1+y²-8y+16=25
x²-2x+y²-8y=8

The equation of the circle is x²-2x+y²-8y-8=0. Hope this helps =)