length of minute hand of a clock in home is 7 cm the area swept by it in 30 minutes is
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Given;
- r = 7 cm
- time = 30mins
we know that in ;
- 60mins = min hand rotates 360°
- 30mins = θ degrees
Thus by unitary method ;
- θ = 360×30/60
- θ = 360/2
- θ = 180°
Thus area swept = area of the sector :
- πr²× θ/360°
- 22/7 × 7 × 7 × 180/360
- 22/1 × 7 × 1/2
- 22/2 × 7
- 11 × 7
- 77 cm²
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