Question

The length of the minute hand of a clock is 14 cm. How far does the tip of the
minute hand move in 30 minutes?​

Answer 1

Step-by-step explanation:

The minute hand of a clock = 14 cm

The hour hand of a clock = 7 cm

Within 30 minutes the minute hand moves semi circular path. That is 180∘

=> πr = 3.14 x14 2 44 cm.

within 1 minute the hour hand moves 0.5∘ 30 minutes = 30x0.5 = 15∘

The far hour hand moves = 180∘15∘=12∘

=> πr=3.14×712=1.83cm

Answer 2

Answer:

• Distance covered by the minute hand of the clock is 44 cm.

Step-by-step explanation:

Given that:

• Length of the minute hand of a clock is 14 cm.

To Find:

• How far does the tip of the minute hand move in 30 minutes.

As we know that:

• A full rotation of the minute hand of the clock is 60 minutes.

Then,

• A half rotation of the minute hand of the clock is 30 minutes.

Therefore,

• Distance covered by the tip of the minute hand = 1/2(2πr)

Where,

• r = Radius = Length of the minute hand = 14 cm.

Substituting the values,

Distance covered by the the tip of the minute hand is :

$\longmapsto \dfrac{1}{2}\times2\pi\times14$

$\longmapsto \dfrac{1}{2}\times2 \times \dfrac{22}{7} \times14$

Reducing the numbers,

$\longmapsto \dfrac{1}{1}\times1 \times \dfrac{22}{1} \times2$

$\longmapsto 22\times2$

Multiplying the numbers,

$\longmapsto \boxed{\bf{44}}$

Hence, distance travelled by the tip of the minute hand of the clock in 30 minutes is 44 cm.