Question

A circle in the standard (x,y) coordinate plane is tangent to the x-axis at 5 and tangent to the y-axis at 5. What is the equation of the circle?

Answer 1

`Standard \ Form \ of \ the \ Equation \ of \ a \ Circle : \\\\ (x-h)^2 + (y-k)^2=r^2 \\ center \ of \ the \ circle \ is \ (h,k) \\ radius : \ r \\ \\ center \ of \ the \ circle : (h,k) = (5,5)\\ r=5\\\\(x-5)^2 + (y-5)^2=5^2\\\\(x-5)^2 + (y-5)^2=25`

Answer 2

The center is at (5, 5) and the radius is 5. The equation is (X-5)-squared plus (y-5)-squared = 25