Find the Center and Radius x^2+y^2=4

Problem

x^2+y^2=4

Solution

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

2. Rewrite the given equation x^2+y^2=4 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 of the equation, where r^2=4

Final Answer

Center: *(0,0), Radius: *2

Want more problems? Check here!