Question

A circular shape is obtained from a 44cm long wire. what is the radius of the circle

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Answer 1

Answer:

Given, Total length of the wire=44cm

∴ The circumference of the circle=2πr=44cm

⇒2×

7

22

×r=44

⇒r=

2×22

44×7

=7cm

Now, Area of the circle=πr

2

=

7

22

×7×7=154cm

2

Now the wire is converted into square,

Then perimeter of square=44cm

⇒4× side=44

⇒ side=

4

44

=11cm

Now, area of square=side×side=11×11=121cm

2

Therefore, on comparing the area of circle is greater than that of square, so the circle enclosed more area.

Answer 2

Hey friend, here is your answer -

For the circle

Circumference = 44 cm

Let the radius be noted as r.

Circumference = 2πr

44 = 2 x (22/7) x r

r = (44 x 7) / (22 x 2)

r = (44 x 7) / 44

r = 7

Hence the radius of the circle = 7 cm

Hope it will help

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