Question

a wire is in the form of the rectangle whose perameter is 132 cm the wire is straigtned and bent in to a circle find the radius of the circle so formed and area of the circle so formed

Answer 1

Answer:

Radius of circle is 21cm. 

Diameter of circle is 42cm.

Answer 2

Ton find : radius of circle and area of circle formed .

Given : perimeter of  rectangle wire = $132\ cm$

Solution :

• As per the given data we know that perimeter of  rectangle wire is $132\ cm$ .
• We have to find radius of circle and area of circle formed by straightening rectangular wire .
• As per the given data we have ,

       Circumference of circle = Perimeter of circle  

         $2\pi r = 132 \ cm \\2\times 3.14\times r = 132 \\r = \frac{132}{6.28} \\r = 21.01 \ cm$

• Area of circle = $\pi r^{2}$

                               $= 3.14\times (21.01 )^{2} \\= 65.9714\ cm ^{2}$

Hence , radius of circle is $21.01\ cm$ and area of circle is $65.9714 \ cm ^{2}$ .