Find the area of a sector of a circle of radi | vedclass

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(B) The formula for the area of a sector is given by: $	ext{Area} = \frac{	heta}{360^{\circ}} 	imes \pi r^{2}$.Given,radius $r = 21 \, cm$ and cent

Vedclass · Accepted Answer

$462$

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(B) The formula for the area of a sector is given by: $	ext{Area} = \frac{	heta}{360^{\circ}} 	imes \pi r^{2}$.Given,radius $r = 21 \, cm$ and central angle $	heta = 120^{\circ}$.Substituting the values into the formula:$	ext{Area} = \frac{120}{360} 	imes \frac{22}{7} 	imes (21)^{2} \, cm^{2}$.$	ext{Area} = \frac{1}{3} 	imes \frac{22}{7} 	imes 21 	imes 21 \, cm^{2}$.$	ext{Area} = \frac{1}{3} 	imes 22 	imes 3 	imes 21 \, cm^{2}$.$	ext{Area} = 22 	imes 21 \, cm^{2} = 462 \, cm^{2}$.

Find the area of a sector of a circle of radius $21 \, cm$ and central angle $120^{\circ}$. (in $cm^{2}$)

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