Question

a piece of wire is in the form of a rectangle whose lenth 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 a circle
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Answer 1

Answer:

28 cm

Step-by-step explanation:

Lets get the main thing about the question - perimeter of rectangle = perimeter of circle {1}

1st, we need to find the perimeter of the rectangular wire:

Perimeter = 2 (l + b)

                = 2 (52 + 36) = 176 cm

Now, lets find the circumference of the circle (perimeter):

Circumference of circle = 2πr

Circumference of circle = 176 cm (refer to {1})

And now the radius:

2πr = 176 cm

2 × $\frac{22}{7}$ × r = 176 cm

   r = $\frac{176 * 7}{22 * 2}$ = 4 × 7 = 28

Therefore, the radius of the circle is 28 cm

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