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in Mathematics by (11.0k points)

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? [Take  π =3.14]

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Best answer

Radius of pipe = 4 cm

Wrapping cord around circular pipe = 2πr

= 2 x 3.14 x 4 = 25.12 cm

Again, wrapping cord around a square = 4 x side

= 4 x 4 = 16 cm

Remaining cord = Cord wrapped on pipe – Cord wrapped on square = 25.12 – 16 = 9.12 cm

Thus, she has left 9.12 cm cord.

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