Question

Use the information provided to write the equation of circle Center:(10,17)Point on a circle(8,17)

Answer 1

The equation of circle centered at (h, k) with radius r is:

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

Substituting with the center (10, 17), that is, h = 10 and k = 17, and the point (8, 17), that is, x = 8 and y = 17, we get:

$\begin{gathered} (8-10)^2+(17-17)^2=r^2 \\ (-2)^2+0=r^2 \\ 4=r^2 \end{gathered}$

Finally, the equation is:

$(x-10)^2+(y-17)^2=4$