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(D) The area of a sector of a circle is given by the formula $A = \frac{	heta}{360^\circ} 	imes \pi r^2$,where $	heta$ is the central angle in degr

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$\frac{1}{2} r l$

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(D) The area of a sector of a circle is given by the formula $A = \frac{	heta}{360^\circ} 	imes \pi r^2$,where $	heta$ is the central angle in degrees.We know that the length of an arc $l$ is given by $l = \frac{	heta}{360^\circ} 	imes 2 \pi r$.From this,we can express the term $\frac{	heta}{360^\circ}$ as $\frac{l}{2 \pi r}$.Substituting this into the area formula: $A = \left( \frac{l}{2 \pi r} ight) 	imes \pi r^2$.Simplifying the expression: $A = \frac{l 	imes \pi r^2}{2 \pi r} = \frac{1}{2} r l$.

In a circle with radius $r$,the area of a sector formed by an arc of length $l$ is.........

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