Question

the minute hand of a clock is 21 centimetre long find the area swept by the minute hand in 5 minutes

Answer 1

radius=21cm
1 minute=1 whole rotation in the clock
5 minutes=5 whole rotation in the clock
area of 5 rotations=5×area of 1 rotation
$area of 1 rotation = \pi \: {r}^{2}$
=22/7 ×21×21
=1386 cm^2
area of 5 rotations=5×area of 1 rotation
area of 5 rotations=5×1386
=6930cm^2

Answer 2

In 5 minutes the area swept is 115.5 cm^

the photo below is the solution for the question and the below text is the proof for the answer.

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proof for answer

area of circle or clock = πr²

                                    = 22/7 * 21 * 21

                                    = 1356 sq.cm²

divide it by answer

= 1356 / 115.5

= 12

i.e 12 parts of the clock

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