Question

How do you find the general form of the equation of this circle given center (10, -1), radius = 10?

Answer 1

`x^2+y^2-20x+2y+1=0`

Explanation:

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, `h=10,k=-1.r=10`
So,
`(x-10)^2+(y+1)^2=10^2` `rArrx^2-20x+100+y^2+2y+1=100`
`rArrx^2+y^2-20x+2y+1=0`