Find the Center and Radius x^2+y^2=1

Problem

x2+y2=1

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 to match the standard form by expressing the variables as subtractions from zero.

(x−0)2+(y−0)2=1

3. Extract the coordinates of the center (h,k) from the rewritten equation.

h=0

k=0

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

r2=1

r=√(,1)=1

Final Answer

Center: *(0,0), Radius: *1

Want more problems? Check here!