Completing the Square for a Circle (Algebra 2)
Free printable Algebra 2 worksheet on completing the square to convert a circle from general form x² + y² + Dx + Ey + F = 0 to standard form and read its centre and radius.
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Algebra 2 · Math worksheet
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Math
Conic Sections: Completing the Square for a Circle
Each circle is given in general form. Complete the square in x and in y to rewrite it in standard form, then state the centre and radius.
- 1.Complete the square to write x² + y² - 10x - 4y + 13 = 0 in standard form, then state its centre and radius.
- 2.Complete the square to write x² + y² + 12x + 10y + 57 = 0 in standard form, then state its centre and radius.
- 3.Complete the square to write x² + y² + 10x + 8y + 10 = 0 in standard form, then state its centre and radius.
- 4.Complete the square to write x² + y² - 2x - 12y + 28 = 0 in standard form, then state its centre and radius.
- 5.Complete the square to write x² + y² - 8x + 6y + 16 = 0 in standard form, then state its centre and radius.
- 6.Complete the square to write x² + y² + 8x - 6y + 6 = 0 in standard form, then state its centre and radius.
- 7.Complete the square to write x² + y² + 6x - 2y - 6 = 0 in standard form, then state its centre and radius.
- 8.Complete the square to write x² + y² - 8x + 7 = 0 in standard form, then state its centre and radius.
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