How to Find Equation of a Circle? (+FREE Worksheet!)

Exercises for the Equation of a Circle

Write the standard form equation of each circle.

1. \(\color{blue}{x^2+y^2-2x+2y=7}\)
2. \(\color{blue}{x^2+y^2+12x+8y=-3}\)
3. \(\color{blue}{x^2+y^2+8x-2y=8}\)
4. \(\color{blue}{x^2+y^2-4x-8y-4=0}\)
5. \(\color{blue}{Center: (2,-4), Radius: 5}\)
6. \(\color{blue}{Center: (-1,-5), Area: 16π}\)

1. \(\color{blue}{(x-1)^2+(y-(-1))^2=3^2}\)
2. \(\color{blue}{(x-(-6))^2+(y-(-4))^2=7^2}\)
3. \(\color{blue}{(x-(-4))^2+(y-1)^2=5^2}\)
4. \(\color{blue}{(x-2)^2+(y-4)^2=(2\sqrt{6})^2}\)
5. \(\color{blue}{(x-2)^2+(y-(-4))^2=5^2}\)
6. \(\color{blue}{(x-(-1))^2+(y-(-5))^2=4^2}\)

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