the short and long hands of a clock are 5cm and 6cm long respectively then the distance travelled by long hand in 60 hour is
please help
Answers
Answer:
12,672/7 cm
Or 1810.2857 cm
Step-by-step explanation:
In 60 hour, the long hand will complete=12×4=48 rounds.
So distance travelled by its tip=48(circumference of circle of radius 6cm)
= 48 (2 ×pi×Radius)
=48 (2× 22/7 ×6)
=12,672/7 cm
Or 1810.2857 cm
Given:
short hands of a clock are 5cm = r =5 cm
long hands of a clock are 6cm = r= 6 cm
Find distance travelled by long hand in 60 hour
distance traveled by the hands =circumference of the circle
circumference of the circle produced by long hand=2πR
=2 × 3.14 × 6
=37.68 cm
long hand completes 60 rotations in 60hours
=60 × 37.68
=2260.8 cm
Hence the distance travelled by long hand in 60 hour is 2260.8 cm