Find the Center and Radius x^2+y^2=16

Problem

x2+y2=16

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=16 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 r2=16

Final Answer

Center: *(0,0), Radius: *4

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