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  • A wire in the shape of circle of radius 10.5cm is cut and bent in the form of rectangle of sides in the ratio 7:4.find the area of rectangle?

A wire in the shape of circle of radius 10.5cm is cut and bent in the form of rectangle of sides in the ratio 7:4.find the area of rectangle?

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Given circle of radius 10.5 cm

extPerimeter of circle = 2pi r=2 imesfrac227 imes 10.5=66;;;;;left ( pi=frac227 ight )

rectangle of sides in the ratio 7:4

Let the length be 7x and bredth be 4x

Perimeter of circle = perimeter of circle

\Rightarrow 2(7x+4x)=66\Rightarrow x=3

So, length = 21 cm and bredth = 12 cm

Area of recangle = 252 sq cm

 

 

Posted by

Deependra Verma

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