Area swept by minute hand

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Mensuration

The length of the minute hand of a watch is 42 mm. The area swept by it in 30 minutes (in mm2\text{mm}^2) by taking π\pi as 3.14 is:-

  1. A.

    2769.5

  2. B.

    44 \pi

  3. C.

    728

  4. D.

    1040 \pi

Answer

A

Explanation

In 30 minutes, the minute hand sweeps a semicircle (180∘180^\circ). Area=πr22=3.14×(42)22=3.14×882=2769.48≈2769.5 mm2\text{Area} = \frac{\pi r^2}{2} = \frac{3.14 \times (42)^2}{2} = 3.14 \times 882 = 2769.48 \approx 2769.5\text{ mm}^2.

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