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Equation of a circle practice

A 10th-grade practice module where students identify equations of circles by their center-radius form, write equations from given data, and convert standard forms through completing the square, using questions on selecting, analyzing, and rearranging equations.

By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New

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Questions

  1. Which equation represents a circle with center at (2, -3) and radius 5?
  2. Select all equations that represent a circle with center at the origin.
  3. Write the center and radius of the circle given by the equation (x + 4)² + (y - 1)² = 49.
  4. Arrange the steps to write x² + y² - 6x + 4y = 12 in center-radius form.
  5. Choose the correct value to complete the equation: (x - 1)² + (y + 2)² = ___ for a circle with radius 3.
  6. What is the radius of the circle given by x² + y² = 81?
  7. Match each equation to its center.
  8. Sort each equation as 'center at origin' or 'center not at origin'.
  9. Mark each statement as true or false.
  10. What is the center of the circle given by x² + y² - 8x + 6y = 0? (Write as (h, k))

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