The area of a sector of a circle of radius 5 | vedclass

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(D) Given: Radius $R = 5 \, cm$ and arc length $S = 3.5 \, cm$.The formula for the angle $	heta$ (in radians) subtended by an arc at the center is $\

Vedclass · Accepted Answer

$8.75$

Vedclass · Answer

(D) Given: Radius $R = 5 \, cm$ and arc length $S = 3.5 \, cm$.The formula for the angle $	heta$ (in radians) subtended by an arc at the center is $	heta = \frac{S}{R}$.Substituting the values: $	heta = \frac{3.5}{5} = 0.7 \, 	ext{rad}$.The area of a sector is given by the formula $	ext{Area} = \frac{1}{2} R^2 	heta$.Substituting the values: $	ext{Area} = \frac{1}{2} 	imes (5)^2 	imes 0.7$.$	ext{Area} = \frac{1}{2} 	imes 25 	imes 0.7 = 12.5 	imes 0.7 = 8.75 \, cm^2$.

The area of a sector of a circle of radius $5 \, cm$,formed by an arc of length $3.5 \, cm$,is (in $cm^2$)

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