Question

write the equation for a circle with it's center at (9,7) and with a solution point at (-6,2)

Answer 1

Answer:

Step-by-step explanation:

The equation for a circle is

$(x-h)^2+(y-k)^2=r^2$

We have an h, k, x, and y; we need to find r-squared.  Filling in:

$(-6-9)^2+(2-7)^2=r^2$  which simplifies to

$-15^2+-5^2=r^2$  which simplifies to

$225+25=r^2$  which means that

$r^2=250$

Our equation, then, is

$(x-9)^2+(y-7)^2=250$