Question

The length of a minute hand of clock is 14cm.Find the area covered by minute hand in 120 minutes on the face of clock *​

Answer 1

Answer:

go through the attached sheet

Step-by-step explanation:

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Answer 2

• 1232 cm² is the required answer.

Given:-

• Length of minute hand = 14 cm
• Time taken ,t = 120 min

To Find:-

• Area covered by Minute Hand

Solution:-

As we know that when minute hand Complete 1 round then the angle made by them is 360° .

When minute hand Complete 1 round then its take 60 Min.

Then, angle made by minute hand each min

→ Angle made by minute hand per minute = 360/60 = 6°

Therefore, at per minute minute hand made 6° angle.

The angle made by minute hand in 120 min = 120×6 = 720°

Therefore, the area covered by mirror hand = θ/360 × πr²

→ The area covered by mirror hand = 720/360 × 22/7×14²

→ The area covered by mirror hand = 2 × 22/7 × 196

→ The area covered by mirror hand = 44/7 × 196

→ The area covered by mirror hand = 44×28

→ The area covered by mirror hand = 1232 cm²

• Hence, the area covered by minute hand is 1232 cm².