Find the Center and Radius x^2+y^2=64

Problem

x2+y2=64

Solution

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

2. Rewrite the given equation x2+y2=64 to match the standard form by expressing the coordinates as subtractions from zero.

(x−0)2+(y−0)2=64

3. Determine the center (h,k) by identifying the values subtracted from x and y

h=0

k=0

4. Calculate the radius r by taking the square root of the constant on the right side of the equation.

r2=64

r=√(,64)

r=8

Final Answer

Center: *(0,0), Radius: *8

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