Question

Through what angle does the minute-hand of a clock turn in 45 minutes and the hour-hand in 30 minutes ?

Answer 1

(i) Angle the minute-hand of a clock turn in 45 minutes is:

1 complete rotation = 60 minute = 360$°$

1 min = $\frac{360}{60}$ = 6$°$

45 minutes = 45 X 6$°$ = 270$°$

Hence in 45 minutes the minute-hand of a clock the angle will be form is 270$°$.

(ii) Angle the hour-hand of a clock turn in 30 minutes is:

1 complete rotation = 60 minute = 360$°$

1 min = $\frac{360}{60}$ = 6$°$

30 minutes = 30 X 6$°$ = 180$°$

Hour hand will be $\frac{180}{12}$ =15$°$

Hence in 30 minutes the hour-hand of a clock the angle will be form is 15$°$.