Curriculum
Course: Applied Mathematics — Second Secondary
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Curriculum

Applied Mathematics — Second Secondary

Unit 1: Statics

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Unit 2: Solid and Analytic Geometry

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Text lesson

Equation of a Circle

Applied Mathematics — Second Secondary

Equation of a Circle

Position of a point relative to a circle

Position of a point relative to a circle

  • To find the position of the point (x1, y1) relative to the circle with centre (h, k) and radius r, we compare the square of the distance from the point to the centre with r²:
Condition Position of the point
(x1 − h)² + (y1 − k)² < r² Inside the circle
(x1 − h)² + (y1 − k)² = r² On the circle
(x1 − h)² + (y1 − k)² > r² Outside the circle
Equation of a Circle · 3 / 6