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Writing the Equation of a Circle (Algebra 2)

Free printable Algebra 2 worksheet on writing a circle's equation in standard form from its centre and radius, or from its centre and a point on the circle.

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Algebra 2 · Math worksheet
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Conic Sections: Writing the Equation of a Circle

Write each circle's equation in standard form (x - h)² + (y - k)² = r². When given a point, find r² as the squared distance from the centre.

  1. 1.
    Write the equation of the circle with centre (-4, -5) and radius 2 in standard form.
  2. 2.
    Write the equation of the circle with centre (0, 6) and radius 3 in standard form.
  3. 3.
    Write the equation of the circle with centre (-1, 1) and radius 5 in standard form.
  4. 4.
    Write the equation of the circle with centre (-5, -5) and radius 7 in standard form.
  5. 5.
    Write the equation of the circle with centre (-3, 5) and radius 4 in standard form.
  6. 6.
    Write the equation of the circle with centre (-4, 4) that passes through the point (-8, 8).
  7. 7.
    Write the equation of the circle with centre (-1, 2) that passes through the point (2, 4).
  8. 8.
    Write the equation of the circle with centre (-3, 0) that passes through the point (0, -3).
  9. 9.
    Write the equation of the circle with centre (4, 1) that passes through the point (8, -2).
  10. 10.
    Write the equation of the circle with centre (4, 0) that passes through the point (1, -3).
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