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The circumference of a circle is equal to the perimeter of a square. The side of the square is 33 cm. What is double the diameter of the circle? -

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Question

The circumference of a circle is equal to the perimeter of a square. The side of the square is 33 cm. What is double the diameter of the circle?

Options

  • 42 cm

  • 21 cm

  • 10.5 cm

  • None of these

MCQ

Solution

None of these

Explanation:

Circumference of circle

= Perimeter of square

= (4 × 33) cm

∴ 2πr = 4 × 33

⇒ r = `(4 xx 33 xx 7)/(2 xx 22)` = 21 cm

∴ 2 × diameter = 2 × 2 × 21 = 84 cm

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Mensuration - Area and Volume (Entrance Exam)
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