Question

If the length of the hour hand of a clock is 6 cm , then the angle described by hour hand in 10 minutes is
(a) 5°
(b) 10°
(c) 12°
(d) 14°​

Answer 1

Answer:

In 12 hrs angle covered= 360°

In 1 hr angle covered=30°

In 10 mins = 1/6 hrs angle covered=30x1/6=5°

Answer 2

Given: The length of the hour hand of the clock is $6cm$

To find: The angle described by the hour hand in $10$ minutes.

Solution:

It is given that the length of the clock is $=6cm$

To find out the angle described by the hour hand in $10$ minutes, we need to follow some steps,

We know, the hour hand completes one full revolution $= 12$ hours

∴ Angle described by the hour hand in $1$ hour $=\frac{360}{12} =30^o$

∴ Angle described in $60$ minutes $=30^o$

∴ Angle described by the hour hand in $10$ minutes $=\frac{30}{60}*10=5^o$

Final answer:

Hence, the angle described by the hour hand in 10 minutes is option(a)$5^o$