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Q.


State whether the following statement is true or false.

Pragya wrapped a cord around a circular pipe of radius 4 cm and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm. She has cord left with her.


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a

True

b

False 

answer is A.

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Detailed Solution


 Perimeter of circle = 2πr =2×π×4cm =2×3.14×4cm =25.12cm
Now, perimeter of square = 4 × a
=4×4cm =16cm
The perimeter of square is less than perimeter of circle.
Therefore, Pragya has cord left with her.
Given statement is true.
Option 1 is correct.
 
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