4024/12 Oct/Nov 2021, Question 19: Combining Circle Theorems
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Using a circle with centre O, tangent PBQ at B, straight line OCQ, angle BQO = 36° and angle BAC = x°, find x.
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Solution · 2 marks
- 1Angle OBQ = 90° (tangent is perpendicular to radius)
- 2Angle BOQ = 180 − 90 − 36 = 54°
- 3Angle BAC = 1/2 × angle BOC (angle at centre is twice angle at circumference)
- 4x = 54 ÷ 2 = 27
Answer27
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Also searched as: 4024/12/O/N/21 · 4024_w21_qp_12 · 4024 w21 12 · question 19.
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