the large hand of a clock is 42cm long how much distance does its extremity move is 20 minutes
Answers
Angle rotated in 60 mm=360 o θ= angle rotated in 20 min⇒ 60360 ×20⇒120 o θ⇒( 32π )∴P=rθ=(42)× 32π ⇒28 π cm
Angle rotated in 60 mm=360 o θ= angle rotated in 20 min⇒ 60360 ×20⇒120 o θ⇒( 32π )∴P=rθ=(42)× 32π ⇒28 π cm∴ the extremity of the hand moves 28 pi cms.
Answer:
As we know that the large hand means minute hand.
In 60 minutes , minute hand complete 1 cycle means it covered 2πr distance.
Step-by-step explanation:
minutes distance covered
60. 2πr
20. (20/60) × 2πr
In 20 min it covered (2/3)πr distance.
extremity means end point of a minute hand.
so r = 42 cm
dist covered in 20 minutes = (2/3) × 2π× 42
= 56 × (22/7)
= 176cm