Find the Center and Radius x^2+y^2=25

Problem

x2+y2=25

Solution

1. Identify the standard form of a circle equation, which is (x−h)2+(y−k)2=r2 where (h,k) represents the center and r represents the radius.

2. Rewrite the given equation x2+y2=25 to match the standard form by expressing the variables as subtractions from zero.

3. Determine the center (h,k) by observing that x2 is (x−0)2 and y2 is (y−0)2 which means 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 r2=25

Final Answer

Center: *(0,0), Radius: *5

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