Positional Relationship between a Point and a Circle
For a point P(x₀, y₀) and a circle (x - h)² + (y - k)² = r²: - If (x₀ - h)² + (y₀ - k)² < r², the point is inside the circle. - If (x₀ - h)² + (y₀ - k)² = r²,…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Circles
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
For a point P(x₀, y₀) and a circle (x - h)² + (y - k)² = r²: - If (x₀ - h)² + (y₀ - k)² < r², the point is inside the circle. - If (x₀ - h)² + (y₀ - k)² = r², the point is on the circle. - If (x₀ - h)² + (y₀ - k)² > r², the point is outside the circle.
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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