Question 42
Circle TheoremsThe diagram is a circle of radius |OQ| = 4 cm. TR is a tangent to the circle at R. If TP̂O = 120°, find |PQ|.
- A.2.32 cm
- B.1.84 cm
- C.0.62 cm
- D.0.26 cm
Show the answer and explanation
Answer: C (0.62 cm)
Explanation
∠OPR = 180° − 120° = 60° and OR = 4 cm is perpendicular to TR. OP = 4/sin 60° ≈ 4.62 cm, so PQ = OP − OQ ≈ 0.62 cm.