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

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Question

Given that, Radius of a circle, $r =28 \,cm$

and measure of central angle $	heta=45^{\circ}$

Hence, the required area of a sector of a circle i

Vedclass · Accepted Answer

$308$

Vedclass · Answer

Given that, Radius of a circle, $r =28 \,cm$

and measure of central angle $	heta=45^{\circ}$

Hence, the required area of a sector of a circle is $308\, cm$

$	herefore \quad$ Area of a sector of a circle $=\frac{\pi^{2}}{360^{\circ}} 	imes 	heta$

$=\frac{22}{7} 	imes \frac{(28)^{2}}{360} 	imes 45^{\circ}$

$=\frac{22 	imes 28 	imes 28}{7} 	imes \frac{45^{\circ}}{360^{\circ}}$

$=22 	imes 4 	imes 28 	imes \frac{1}{8}$

$=22 	imes 14$

$=308\, cm ^{2}$

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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