NABTEB Mathematics 2022 Objective — Question 22

Question 22 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Using the information in Q21, find the area of the sector OPSQ (the major sector).

A. 15.40cm^2
B. 17.64cm^2
C. 23.10cm^2
D. 32.34cm^2Correct

Explanation

The minor sector OPRQ subtends 150 degrees, so major sector OPSQ subtends 360-150=210 degrees. Area = (210/360) x (22/7) x 4.2^2 = 32.34cm^2.

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