Download PC Unit 4.2 Intro to Conics - Circles ws 3 - General to Standard Form

PreCalc
4.1 Circles
Name: ___________________________
Date: ____________________________
I. Use Completing the Square (CTS) to change each equation from General to Standard Form. Once the
equation is in Standard Form, identify the Center and Radius of each circle.
1. x2 + y2 + 4x – 5 = 0
2. x2 + y2 – 14y + 48 = 0
Center: ____________ r = __________
Center: ____________ r = __________
3. x2 + y2 – 8x + 6y – 56 = 0
4. x2 + y2 + 12x + 2y + 21 = 0
Center: ____________ r = __________
Center: ____________ r = __________
5. x2 + y2 – 10x + 8y + 5 = 0
6. x2 + y2 – 3x + 4y = 0
Center: ____________ r = __________
Center: ____________ r = __________
7. x2 + y2 + 5x – 7y + 16 = 0
8. 2x2 + 2y2 – 12x + 8y + 20 = 0
Center: ____________ r = __________
Center: ____________ r = __________
9. x2 + y2 – 10x + 6y + 18 = 0
10. x2 + y2 – 16x + 4y + 64 = 0
Center: ____________ r = __________
Center: ____________ r = __________
II. Use the given information to write the equation of each circle in standard form.
11. center: (-3,10)
radius: 9
12. Center: (12,4)
radius: 5√3
13. center: (3,-7)
point: (-2,-4)
14. center: (-9,-1)
point: (-6,2)
15. center: (0,5)
circumference: 16𝜋
16. center: (13,-2)
area: 20𝜋
17. endpoints of diameter are (-8,10) & (-1,10)
18. Endpoints of diameter are (-3,6) & (1,0)