Find the Center and Radius x^2+y^2=49

Problem

x2+y2=49

Solution

1. Identify the standard form of a circle equation centered at (h,k) with radius r

(x−h)2+(y−k)2=r2

2. Compare the given equation x2+y2=49 to the standard form.

(x−0)2+(y−0)2=49

3. Determine the center (h,k) by observing 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=49

r=√(,49)

r=7

Final Answer

Center: *(0,0), Radius: *7

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