Question

the length of the minute hand is 5cm raju said the area swept by the minute hand during the time period 6:05 am to 6:40am is 45×5/6cmsquare do u agree with him? give reasons
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Answer 1

time taken 35 minutes

area swept in 60 minutes by minutes hand =360

in 35 minutes =360/60×35

so 210

area 210/360×22/7×5×5

=11×25/6

275/6 cm2

Answer 2

Raju is correct.

Step-by-step explanation:

Consider the provided information.

As we know there are 60 minutes in a watch.

Therefore, 60 minutes = 360°

1 minute = 6°

The given time period is 6:05 am to 6:40am

That means time difference is 6:40 - 6:05 = 35 minutes.

Thus, the value of θ is= 35×6°=210°

Find the area of sector by using the formula: $A=\frac{\theta}{360}\pi r^2$

$A=\frac{210}{360}\times\frac{22}{7} \times5\times5$

$A=\frac{11}{6} \times5\times5\\\\A=\frac{275}{6}\\\\A=45\frac{5}{6}$

The area swept by the minute hand is $45\frac{5}{6}$ cm².

Hence, Raju is correct.

#Learn more

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