Question

A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle? Step by Step Please

Answer 1

\[(x - h)^{2} + (y - k)^{2} = r ^{2}\]

Answer 2

h and k are the points of the center. Just reverse the sign and plug them in. To get the radius, use the distance formula.

Answer 3

\[\sqrt{(x _{1} - x _{2})^{2} + (y _{1} - y _{2})^{2}}\]
\[\sqrt{(5 - 0)^{2} + (12 - 0)^{2}}\]
\[\sqrt{(5)^{2} + (12)^{2}}\]
\[\sqrt{25 + 144}\]
\[\sqrt{169}\]
13
Actually, you can ignore the h and k for the equation since it's centered at the origin.
\[x ^{2} + y ^{2} = r ^{2}\]

Answer 4

The radius is 13.

Answer 5

I had skipped a step and got confused Thanks so much!

Answer 6

Sorry. I misread the question. I thought it said write the equation of a circle. lol