Discussion
A Car has two wipers which do not overlap. Each wiper has a blade length of 21 cm, sweeping through an angle of 120 degree. What is the total area covered by blade in each sweep
Answer: D
The total area is 924 cm².
Each blade sweeps a sector of radius 21 cm through 120°, one third of a full circle:
\[ \begin{aligned} \text{one sector} &= \frac{120}{360} \times \frac{22}{7} \times 21^{2} \\ &= \frac{1}{3} \times 1386 = 462\ \text{cm}^{2} \end{aligned} \]
The two wipers do not overlap, so the total is \(2 \times 462 = 924\) cm². The trap is to stop at one wiper (462) or to forget that a 120° sweep is only a third of the circle; 824, 1024 and 536 do not arise from the correct sector formula.
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