Question

A minute hand having length of 7 cm, swept one minute. Find the area occupied by the minute hand in one minute
1. 2.566 cm²
2. 3.566 cm2
3. 5.566 cm2
4. 4.566 cm2

Answer 1

Correct Answer - Option 1 : 2.566 cm²

Given:

Radius of minute hand = 7 cm

Formula used:

Area = πr²θ/360

Calculation:

We know that

In 60 min, minute hand covers 360° 

In 1 min, minute hand covers = 360/60 = 6° 

According to the question

Area = πr2θ/360° 

⇒ 22/7 × 7 × 7 × 6/360° 

⇒ (22 × 7)/60

⇒ 154/60

⇒ 2.566 cm²

∴ Required area is 2.566 cm²