Question

A piece of wire is in the form of a rectangle whose length is 52 cm and breadth is 36 cm. It is cut at a point and bent in the form of a circle. Find the radius of the circle.​

Answer 1

Step-by-step explanation:

length of circle 52

Breath of circle 36

Length of wire 2×(36+52)

2× pi×r = 176

2×22/7×r = 176

(176)(7/44)

Therfore R is 28 cm.

Answer 2

To find : radius of circle .

Given : length  and breadth

Solution :

• According to question we are given that length and breadth of rectangle, wire is $52\ cm$ and $36\ cm$  respectively. We have to find radius of circle formed by bending rectangular wire .
• We find perimeter of rectangular wire using  following formula  Perimeter of rectangle wire $= 2( l + b )$
• Substituting the values we get,

• Perimeter of rectangle wire  $=2 ( 52 + 36 ) cm$

                                                        $= 2 \times 88cm \\= 176\ cm$

• Now, circumference of circle = perimeter of rectangle wire  
• Therefore ,on  substituting the values we get ,

         $2\ \pi\ r = 176 \ cm \\2\times 3.14\times r = 176\\r = \frac{176}{6.28} \\r = 28.025 \ cm$

Hence, radius of circle is $28.025\ cm$ .