Question

How do you write an equation for a circle with center (-2,5) and radius of 5?

Answer 1

`x^2+y^2+4x-10y+4=0`

Explanation:

suppose,
the equation is,
`(x-h)^2+(y-k)^2=r^2`
here,
`h=-2`
`k=5`
`r=5`
so, the equation is,
`(x+2)^2+(y-5)^2=5^2`
`or,x^2+4x+4+y^2-10y+25=25`
`or,x^2+y^2+4x-10y+4=0`