WAEC Mathematics 2022 Objective — Question 22

Question 22 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Find the area of the sector OPSQ. [Take π=22/7]

A. 15.40 cm²
B. 17.64 cm²
C. 23.10 cm²
D. 32.34 cm²Correct

Explanation

Area of circle = πr² = (22/7)×4.2² = 55.44 cm². Area of sector OPRQ (150°) = (150/360)×55.44 = 23.1 cm². Area of sector OPSQ (remaining, 210°) = 55.44−23.1 = 32.34 cm².

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