the area of sector whose perimeter is four times it's radius "r" units is
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The perimeter of a sector is four times its radius r units.
To find the area of the sector.
The perimeter of a sector is equal to the sum of the length of the arc and two time the radius.
Thus, perimeter of the sector .
From the given data, we have
By simplifying the above equation, we get
The area of the sector of a circle of radius r subtending an angle of θ is,
A
By substituting the value ,
Area = r² sq. units
Thus, option (c) is the correct answer.
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