Question

if a wire of length 44cm is bent in the form of circle and again bent in form of rectangle of length12cm . then the area of circle and rectangle are in the ratio​

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.

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Answer 2

Answer:

given

total length of wire =44cm

therefore the circumference of circle=2πr=44 cm

2×22/7×r=44

r=44×7/2×22

=7cm

now area of circle=πrsquare

=22×7×7=154cm square

now the wire is converted into square the perimeter of square=44cm

4×side=44

side=44/4=11cm

now area of square=side×side=11×11 =121cm square