Question

Determine the equation of the circle graphed below.

Answer 1

Explanation:

Circle centre: (4,7)

Radius: 3

Equation is:

`(x-h)^2+(y-k)^2=r^2` (where (h,k) is center, r is radius)

`(x-4)^2+(y-7)^2=3^2`

`(x-4)^2+(y-7)^2=9` (This is the general standard form )

in expanded form,

`(x^2-8x+16)+(y^2-14y+49)=9`

`x^2+y^2-8x-14y+56=0`

Note: Unless stated either form is an acceptable answer.