Find the Center and Radius x^2+y^2=36

Problem

x^2+y^2=36

Solution

1. Identify the standard form of a circle equation, which is (x−h)^2+(y−k)^2=r^2 where (h,k) is the center and r is the radius.

2. Rewrite the given equation x^2+y^2=36 to match the standard form by expressing the variables as subtractions from zero.

3. Determine the center (h,k) by observing that h=0 and k=0

4. Calculate the radius r by taking the square root of the constant on the right side, where r^2=36

Final Answer

Center: *(0,0), Radius: *6

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