Question

What is the standard form the a circle centered at the region that passes through the point (-2,5)?

Answer 1

what is the center point?

Answer 2

Origin

Answer 3

Thanks.
The formula is:
\[(y-k)^2 + (x-h)^2 = r^2\]
Where (h,k) is the center point and r is the radius.
From this, we know that h=0 and k=0 because the center is at (0,0)

We know the radius by the Pythagorean theorem as:
\[\sqrt{2^2+5^2} = \sqrt{4+25}=\sqrt{29}\]
Therefore, the equation is:
\[x^2 + y^2 = 29\]

Answer 4

Thanks a ton!

Answer 5

you're welcome.