Question

The hour hand and the minute hand of a circular clock are 10cm and 15cm long. how far do the tips of two hands, taken together, move in 1 day​

Answer 1

Answer:

In one hour or 60 minutes the minute hand makes one revolution which in distance is equal to the circumference which is equal to 2π*radius=2π*7=14π. However, in 20 minutes you only went 20/60 or 1/3 of a revolution in which the tip of the minute hand traveled 1/3 of the circumference=14π/3≈14.66 inches.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

hour hand =10cm

minutes hand =15cm

In 12hrs, hours hand makes 1 circle

In 1hr, minutes hand makes 1 circle

In one day=24hrs:

hour hand make 24/12=2 circles

minutes hand makes 24/1=24 circles

for 1 circle hour hand tip or minutes hand tip moves a distance = circumference of the circle =2×pi×r, where r is radius =length of hours or minutes hand

Hour hand tip distance moved:

to make 1 circle =2×pi×10= 62.86cm

no. circles =2

total distance moved by hour hand tip

=2×62.86=125.71= 1m 25.71cm

minutes hand tip distance moved:

to make 1 circle = 2×pi×15 =94.29

no. of circles =24

total distance moved by minutes hand tip = 94.29×24=2262.86 cm=22m 62.86cm

hope this helps