Test
Equations of circles
A 10th-grade lesson on equations of circles where students practice converting between standard and general forms using the distance formula and completing the square, through questions on identifying circle equations, points on a circle, and step-by-step derivations.
By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New
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Questions
- Which of the following is the equation of a circle with center at (3, -2) and radius 5?
- Complete the square to write x² + 6x + y² - 4y = 3 in standard form.
- Which of the following points lie on the circle with equation (x - 2)² + (y + 1)² = 9? Select all that apply.
- Put the steps for deriving the equation of a circle from the distance formula in order.
- The center of the circle given by (x - 4)² + (y + 5)² = 36 is (_, _).
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