Name _______________________
Algebra 3
Date ________________________
Practice
Standard Form Equation of the Circle
Write the standard form equation of the circle. Determine the center and the radius, and then
graph each circle.
1. 𝑥 2 + 𝑦 2 + 6𝑥 − 16 = 0
2. 𝑥 2 + 𝑦 2 − 2𝑥 + 6𝑦 = 6
3. 𝑥 2 + 𝑦 2 + 4𝑦 − 12 = 0
4. 3𝑥 2 − 6𝑥 = −3𝑦 2 + 24
5. 3𝑥 2 + 3𝑦 2 + 6𝑥 + 6𝑦 − 6 = 0
6. 5𝑥 2 + 5𝑦 2 − 50𝑥 − 10𝑦 = 115
Write the general form equation of the circle.
7. (𝑥 − 6)2 + (𝑦 − 1)2 = 45
8. (𝑥 + 7)2 + (𝑦 − 3)2 = 10
Use the given information to determine the standard form equation of the circle.
Name _______________________
Algebra 3
Date ________________________
Practice
Standard Form Equation of the Circle
9. Center: (5, 2)
10. Endpoints of the diameter:
(2, 2) and (6, 4)
Point on the circle: (1, 3)