Name
Equations of Circles
Date
1.The equation x2 + y2 – 2x + 6y + 3 = 0 is equivalent to
1)
3)
2)
4)
2. Find the center and radius of x2 + y2 – 8x + 2y + 8 = 0
3. Find the center and radius of x2 + y2 −12x − 8y + 27 = 0.
4. Find the center and radius of x2 + y2 + 8x −10y + 37 = 0.
5. Find the center and radius of x2 + y2 + 6x − 2y −15 = 0.
6. Change the equation to standard form and name the figure.
4x2 + 4y2 + 24x − 32y + 80 = 0
7. Write an equation of the circle shown in the diagram below.
8. What equation represents the circle shown in the graph below that passes through
the point (0, -1)?
9. A circle shown in the diagram below has a center of (-5,3) and passes through point (-1,7).
Write an equation that represents the circle.
10. Write an equation of the circle shown in the graph below.