WAEC Further Mathematics 2007 Question 15

Question 15

Coordinate Geometry

Find the area of the circle whose equation is x2 + y2 − 4x + 8y + 11 = 0.

  1. A.3π
  2. B.6π
  3. C.9π
  4. D.12π
Show the answer and explanation

Answer: C (9π)

Explanation

Centre (2, −4); r² = 2² + (−4)² − 11 = 9. Area = πr² = 9π.