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Q.

The length of the minute hand of a clock is 14 cm. Find the area covered by the circular dial in an interval of 20 minutes



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a

  204.33 

b

205.33

c

207.33

d

200.00 

answer is B.

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Detailed Solution

Concept: There are two radii and the arc is called a sector of the circle, the centre of the dial is also the centre of the circle. a minute hand sweeps a part of the area of the circular dial using a unitary method to calculate it.
Length of minute hand Question ImageInterval is 20 minutes.
We know, 1 min Question ImageQuestion ImageQuestion ImageThe angle form is Question Image.
The area is given by,
Question ImageQuestion ImageQuestion ImageTherefore, the area covered by minute hand is Question Image.
Hence, the correct option is 2
 
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