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Subjects / LC Mathematics / Geometry and Trigonometry

Coordinate geometry of the circle

Work with circle equations, centre and radius, points on circles, tangents and intersections with lines.

5th Year6th Year HigherOrdinary
Helps to know first: Coordinate geometry of the line
16practice questions

Multiple choice: 5 · Numeric answer: 9 · Put in order: 1 · Written answer (self/teacher assessed): 1

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Numeric answerPaper 2 – Geometry and Trigonometry
A circle has centre (5, 1) and passes through the point (6, 5). Its equation is (x − 5)² + (y − 1)² = r². Find the value of r².
Whole numbers, decimals (2.5) or fractions (3/4).
Hint 1

The radius is the distance from the centre to any point on the circle.

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