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Equation of a circle quiz

This quiz helps 10th-grade students practice writing and graphing equations of circles by identifying centers, radii, and standard forms through multiple-choice and recall questions. It reinforces understanding of the geometric and algebraic aspects of circle equations.

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

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Questions

  1. What is the standard form of the equation of a circle with center (h, k) and radius r?
  2. Which equation represents a circle with center at (3, -2) and radius 5?
  3. Which of the following are equations of circles centered at the origin?
  4. The equation (x - 4)² + (y + 1)² = 49 represents a circle with center at (4, -1) and radius 7.
  5. The equation x² + y² + 6x - 8y + 9 = 0 is already in standard form.
  6. What is the radius of the circle given by the equation (x + 2)² + (y - 5)² = 81?
  7. What are the coordinates of the center of the circle with equation (x - 6)² + (y + 3)² = 49?
  8. If a circle has equation (x - 1)² + (y + 2)² = 100, what is its diameter?
  9. Find the value of k if the circle with equation (x - 2)² + (y - k)² = 49 has its center at (2, 5).
  10. Which of the following statements about the equation of a circle are true?

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