sσℓvє τнє ρrσвℓєм αвσvє
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- 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.
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