Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π = 3.14)

Solution:

Side of square box = 4 cm

Radius of circular pipe = 4 cm

Length of the cord = Circumference of the circular pipe

= 2πr

= 2 × 3.14 × 4 cm

= 25.12 cm

Perimeter of the square box = 4 × side

= 4 × 4 cm

= 16 cm

Length of the cord left = Circumference of the circular pipe - Perimeter of the square box

= 25.12 cm - 16 cm

= 9.12 cm

Yes, 9.12 cm cord is left.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 11

Video Solution:

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left?

Maths NCERT Solutions Class 7 Chapter 11 Exercise 11.4 Question 8

Summary:

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Yes, she has 9.12 cm cord left.

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