A) 1282.29 cm
B) 1228.30 cm
C) 1382.30 cm
D) 1198.20 cm
Correct Answer: A
Solution :
| In 1 day, i.e. 24 h, short (hour) hand of the clock make 2 revolutions and long (minute) hand make 24 revolutions. |
| In 1 revolution, distance travelled by tip of hour hand = Circumference of circle of radius 6 cm \[=2\times \frac{22}{7}\times 6\] |
| In 1 revolution distance travelled by tip of minute hand = Circumference of circle of radius 8 cm \[=2\times \frac{22}{7}\times 8\] |
| \[\therefore\] Sum of distances travelled by tips of both hand in 1 day |
| \[=2\times 2\times \frac{22}{7}\times 6+24\times 2\times \frac{22}{7}\times 8\] |
| \[=2\times \frac{22}{7}\left( 12+192 \right)=2\times \frac{22}{7}\times 204\] |
| \[=1282.29\,cm\] (approx.). |
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