2021 · Q90
Consider the following for the next two (02) items that follow : AB is a diameter of a circle with centre O. Radius OP is perpendicular to AB. Let Q be any point on arc PB. What is ∠AQP equal to ?
Elementary MathematicsCircles
- A30°
- B40°
- C45°
- D60°
Explanation
Arc AP subtends ∠AOP = 90° at the centre (OP ⊥ AB). An inscribed angle subtending the same arc AP from any point Q on the circle (on arc PB) is half the central angle: ∠AQP = 90°/2 = 45°. This is option (c).