Question

the minute hand a clock is 10cm long
the area swept by it during the time 8:00 a.m to 8:25 a.m is __________.​

Answer 1

Answer:

Using unitary method-

60 ------ 360

So for, 25 ----- 360/60×25 =150

Now area swept in whole-

Area = pi r^2 × theta/360 =22/7×10×10×150/360=130.9

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Answer 2

the time interval between 8:00 a.m. and 8:25 a.m. is 25 minutes

Now,

the area swept by the minute hand in 60 minutes

= π×(10)² sq. cm

∴ the area swept by the minute hand in 25 minutes

= (25/60)×π×(10)² sq. cm = (2500/60) sq. cm = (125/3) sq. cm

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