The length of the minute hand of a clock is 7 | vedclass

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(C) The length of the minute hand is the radius of the circle,$r = 7\,cm$.$A$ minute hand completes a full rotation $(360^\circ)$ in $60$ minutes.In $

Vedclass · Accepted Answer

$\frac{154}{3}$

Vedclass · Answer

(C) The length of the minute hand is the radius of the circle,$r = 7\,cm$.$A$ minute hand completes a full rotation $(360^\circ)$ in $60$ minutes.In $1$ minute,the angle swept is $\frac{360^\circ}{60} = 6^\circ$.In $20$ minutes,the angle swept by the minute hand is $	heta = 20 	imes 6^\circ = 120^\circ$.The area of the sector swept is given by the formula: $	ext{Area} = \frac{	heta}{360^\circ} 	imes \pi r^2$.Substituting the values: $	ext{Area} = \frac{120^\circ}{360^\circ} 	imes \frac{22}{7} 	imes 7 	imes 7$.$	ext{Area} = \frac{1}{3} 	imes 22 	imes 7 = \frac{154}{3}\,cm^2$.

The length of the minute hand of a clock is $7\,cm$. The area of the region swept by it in $20$ minutes is $\ldots \ldots \ldots \,cm^2$.

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