Question

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A wire is bent onto the form of a square of side 27.5 cm .The wire is straightened and bent into the form of a circle. what will be the radius of the circle so formed?
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Answer 1

Answer:

A square has four equal sides. ... Now, perimeter of square is the sum of all sides. Perimeter of square = 27.5 + 27.5 + 27.5 + 27.5 = 110 cm. Now, the wire is straightened and bent into a circle.

Answer 2

Answer:

The perimeter of square = Length of wire

⇒ Length of wire = 4 × 27.5 = 110 cm

Now, Circumference of circle = Length of wire

⇒ 2πr = 110 cm

⇒ 2 × 22/7 × r = 110 cm

⇒ r = 110×7/22×2

⇒ r = 110×7/44

⇒ r = 17.5 cm

∴ The radius of circle = 17.5 cm

Step-by-step explanation:

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