the minute hand of a clock is 20 cm long find the area on the face of the clock described by the minute hand between 8am and 8.45 am
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Answer:
Angle described by the minute hand in 1 minute =6
o
(Since in 60 minutes, the angle described is 360
o
)
Angle described by the minute hand in 25 minutes =25×6
o
=150
o
Area swept by the minute hand in 25 minutes =
360
o
θ
×πr
2
⇒ Area swept by the minute hand in 25 minutes =
360
o
150
o
×
7
22
×(10)
2
⇒ Area swept by the minute hand in 25 minutes =130.95cm
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