Question

the minute hand of a clock is 7 cm long find the area Trees by a minute hand of the clock between 415 to 4:30 on a day​

Answer 1

We have:-

• Length of the minute hand = 7 cm.
• From Time 4:15 to 4:30

To FinD:-

• Area covered by the minute hand?

Solution:-

The minute hand initially pointing at 3 will now point at 6. It means, it covered 1/4th of the clock, or through a quadrant.

The length of the minute hand can be considered as the radius of the quadrant. Here, Θ = 90°$.$

Then,

Area covered by minute hand:

= Θ / 360° × πr²

= 90° / 360° × 22/7 × 7² cm²

= 1/4 × 22 × 7 cm²

= 77 / 2 cm²

= 38.5 cm²

Hence:-

• The area covered by the minute hand during this quadrant is 38.5 cm²

Answer 2

Answer:

$\huge \bf \: solution$

• Length of minute hand = 7 cm
• Time 4:15 to 4:30

$\rule{90}{10}$

Now,

length of the minute hand would be considered as the radius of the quadrant. Here, ∅ = 90°.

Therefore,

Area covered by minute hand

$\sf \dfrac{ \theta}{360} \times \pi \: {r}^{2}$

$\sf \: \dfrac{90}{360} \times \dfrac{22}{7} \times {7} \times 7$

$\sf \: \dfrac{1}{4} \times 22 \times 7$

$\sf\dfrac{77}{2}$

$\bf \: area \: covered \: by \: minute \: hand \: = 38.5 \: cm$