Equation of a Circle Centered at the Origin
Formula: x² + y² = r² Conditions: In the Cartesian coordinate plane, the center is at the origin (0, 0) and the radius is r. Explanation: This is a special cas…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Circles
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: x² + y² = r² Conditions: In the Cartesian coordinate plane, the center is at the origin (0, 0) and the radius is r. Explanation: This is a special case of the standard equation when the center is at the origin, and it is the simplest form.
Related tutorial and examples
Equations and Properties of Circles
Equations and Properties of Circles Circles are a core topic in the CSCA geometry section, often tested in combination with lines and distance formulas. Mastering the two forms of circle equations and the "distance from center to line" is key to solving these problems. 1. Definit…
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