Equation of a Circle & Tangents (GCSE Higher)

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About Course

Learn what the equation x² + y² = r² means, how to read off a circle’s radius and test whether points lie on it, and how to find the equation of a tangent at a given point. Worked examples and common mistakes are included throughout.

This course is for general learning and revision. It is written by Tutwoo and is not produced or endorsed by any exam board. Always check your own exam board’s specification and your teacher’s guidance.

What Will You Learn?

  • Recognise and sketch circles of the form x² + y² = r² Find the equation of a tangent to a circle at a given point Find where a straight line meets a circle Avoid the most common sign and square-root slips

Course Content

Course Lessons

  • The circle x² + y² = r²
  • Tangents at a point
  • Lines meeting circles and common mistakes

Sources & Further Reading
The official guidance this course is based on.

Final Assessment

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