44cm long wire is bent in he shape of rectangle of length 12cm. Them, it is bent in n the form of a circle. [Assume radius=22/7]
What is the difference between the areas enclosed by the rectangle of the circle?

Dear Student,

Length of rectangle given= 12 cm

Total Length=2(length + breadth)

Total Length=2 × length + 2 × breadth

Breadth of rectangle=[Total length - (Length × 2)] / 2

Breadth of rectangle= [44- (12×2)] / 2 = (44-24) / 2= 20/2= 10 cm

Area of rectangle= length × breadth= 12 × 10 = 120 cm2

Circumference of circle = length of wire

2r = 44 cm

r = 7 cm

Area of circle = r2 = (22/7) × 7 × 7= 154 cm2

Area of rectangle = 120 cm2

Required difference = 154 cm2 – 120 cm2 = 34 cm2

Hence area of circle is more and difference is 34 cm2

Regards

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