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(C) Given that,the radius of the circle,$r = 28 \,cm$.The measure of the central angle,$	heta = 45^{\circ}$.The formula for the area of a sector of a

Vedclass · Accepted Answer

$308$

Vedclass · Answer

(C) Given that,the radius of the circle,$r = 28 \,cm$.The measure of the central angle,$	heta = 45^{\circ}$.The formula for the area of a sector of a circle is given by: $	ext{Area} = \frac{	heta}{360^{\circ}} 	imes \pi r^{2}$.Substituting the given values:$	ext{Area} = \frac{45^{\circ}}{360^{\circ}} 	imes \frac{22}{7} 	imes (28)^{2}$$	ext{Area} = \frac{1}{8} 	imes \frac{22}{7} 	imes 28 	imes 28$$	ext{Area} = \frac{1}{8} 	imes 22 	imes 4 	imes 28$$	ext{Area} = \frac{1}{8} 	imes 22 	imes 112$$	ext{Area} = 22 	imes 14 = 308 \,cm^{2}$.Thus,the area of the sector is $308 \,cm^{2}$.

Find the area of a sector of a circle of radius $28 \,cm$ and central angle $45^{\circ}$. (in $cm^{2}$)

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