Angle made by arms of the clock

Now lets first take long arm of minutes

60 minutes makes 360 degree angle

Therefore 1 minute makes how much angle

Cross multiply and we get:

60 minutes ===== 360 degrees

1 minute ======== ? degrees

1 x 360 = ? x 60

Therefore ? degrees = 360/60 = 6

Thus 1 minute makes an angle of 6 degrees.

Example 1:

1) Find angle made by 30 minutes

1 minute ==== 6 degrees

30 minutes === ? degrees

Therefore ? x 1 = 6 x 30 = 180 degrees

Therefore angle made by 30 minutes is 180 degrees

2) Find angle made by 45 minutes

1 minutes ====== 6 degrees

45 minutes ====== ? degrees

Therefore ? x 1 = 6 x 45 = 270

Therefore angle made by 45 minutes = 270 degrees

Angle made by short arm (hour) of the clock

Now clock when it moves one hour the short arm moves 5 minutes on the clock

Therefore

1 minutes covers 6 degrees

5 minutes covers ? degrees

? = 5 x 6 = 30 degrees

Thus 5 minutes makes an angle of 5 x 6 = 30 degrees is the angle made by short arm while it moves one hour on the clock

Example 1 ) How much is the angle formed when clock moves 2.5 hours

Answer: Let us see 1hour move makes an angle 30 degree.

Therefore 2 hours makes 30 x 2 = 60 degrees

Remaining 1/2 hour by short arm makes 30(because 1 hour makes 30 degree ie covers 5 minutes)/2 = 15 degrees

Thus degree of angle formed by 2.5 hours is 60 + 15 = 75 degrees