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WAEC Mathematics 2009 Question 19

Question 19

Circle Theorems

In the diagram, |TP| = 12 cm and it is 6 cm from O, the centre of the circle. Calculate ∠TOP.

Diagram for this question
  1. A.120°
  2. B.90°
  3. C.60°
  4. D.45°
Show the answer and explanation

Answer: B (90°)

Explanation

The perpendicular from O bisects TP into 6 cm halves. Each half-angle has tan = 6/6 = 1, so it is 45°, and ∠TOP = 90°.