Question

A wire is used to make different shapes. Whenever a closed shape is made, 5% from both sides is used to join and tape the ends. The wire is first in the form of square and then folded into circle.
Question:3 ) What is ratio of the areas of circle and square QBID: 10181
A)  1.27
B)  1.42
C)  1.142
D)  0.787

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Answer 1

Ratio of areas of circle and square = 1.27

Step-by-step explanation:

Number of joints in square = Number of joints in circle = 1

So 5% of the length of the wire is lost in both figures.

Essentially, the length of the wire in both cases is the same.

So Perimeter of square = perimeter of circle.

4a = 2πr

  a = πr/2------(1)

Area of square = a*a = πr/2 * πr/2

Area of circle = πr*r

Ratio of areas of circle and square = πr*r / (πr/2 * πr/2)

 = 4/ π

 = 4*7 / 22

 = 28/22

= 1.27

Option A is the answer.