Paper 2 · Co-ordinate Geometry of the Circle ⏱ Tested in 5+ recent exam questions Lesson 1 of 9

The Circle 1 – Introduction

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You’ll learn

  • Write a circle's equation from centre and radius: (x−h)² + (y−k)² = r²
  • Extract centre (−g, −f) and radius √(g²+f²−c) from x²+y²+2gx+2fy+c = 0
  • Rearrange the equation to '= 0' before reading off 2g, 2f and c
  • Substitute g and f (not −g, −f) into the radius formula for full marks

Most recent exam questions

  • 2026 P2 Q5(a)
  • 2026 P2 Q5(b)(i)
  • 2025 P2 Q2(a)(i)
  • 2025 P2 Q2(b)
  • 2025 P2 Q6(a)(i) — deferred

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