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Circles in Standard Form (Algebra 2)

Free printable Algebra 2 worksheet on reading the centre and radius of a circle from standard form (x - h)² + (y - k)² = r², with an accurate graph of each circle.

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Algebra 2 · Math worksheet
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Math

Conic Sections: Circles in Standard Form

For each circle written in standard form, state the centre and the radius, then check it against the graph.

  1. 1.
    Identify the centre and radius of the circle (x + 1)² + (y + 1)² = 16.
    -6-5-4-3-2-11234-6-5-4-3-2-11234r = 4C(-1, -1)
  2. 2.
    Identify the centre and radius of the circle (x + 5)² + (y + 4)² = 9.
    -9-8-7-6-5-4-3-2-1-8-7-6-5-4-3-2-1r = 3C(-5, -4)
  3. 3.
    Identify the centre and radius of the circle (x + 3)² + (y + 6)² = 4.
    -6-5-4-3-2-1-9-8-7-6-5-4-3r = 2C(-3, -6)
  4. 4.
    Identify the centre and radius of the circle (x - 4)² + (y - 3)² = 52.
    -4-224681012-6-4-224681012r = 2√13C(4, 3)
  5. 5.
    Identify the centre and radius of the circle (x + 5)² + (y - 1)² = 25.
    -10-8-6-4-2-4-2246r = 5C(-5, 1)
  6. 6.
    Identify the centre and radius of the circle (x - 5)² + (y - 4)² = 25.
    246810-2246810r = 5C(5, 4)
  7. 7.
    Identify the centre and radius of the circle (x + 2)² + (y + 6)² = 16.
    -7-6-5-4-3-2-1123-11-10-9-8-7-6-5-4-3-2-1r = 4C(-2, -6)
  8. 8.
    Identify the centre and radius of the circle (x - 4)² + (y - 5)² = 5.
    12345678123456789r = √5C(4, 5)
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