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Each Side of a Square is 44 Cm. Find Its Perimeter. If this Perimeter is Equal to the Circumference of a Circle, Find the Radius of the Circle. - Mathematics

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Question

Each side of a square is 44 cm. Find its perimeter. If this perimeter is equal to the circumference of a circle, find the radius of the circle.

Sum

Solution

The side of a square = 44 cm

∴ Its perimeter = 4 × Side

= 4 × 44 = 176 cm

Since, Its is given that, Circumference of a circle = Perimeter of a square

∴ Circumference of a circle = 176 cm

Let, the radius of the circle = r

⇒ 2πr = 176 cm

r = `(176xx7)/(2xx22)` = 28 cm

∴ The radius of the circle = 28 cm

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Chapter 20: Mensuration - Exercise 20 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 20 Mensuration
Exercise 20 (A) | Q 25
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