From a square sheet of paper, some similar circles are cut in such a way that their numbers are maximum. If area of square sheet of paper is 784 cm2 and number of circle is 16, then find the perimeter of each circle.

  1. 21 cm
  2. 22 cm
  3. 23 cm
  4. 24 cm

Answer (Detailed Solution Below)

Option 2 : 22 cm
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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GIVEN:

Area of square sheet of paper = 784 cm2

Number of circle = 16

CONCEPT:

Mensuration

FORMULA USED:

Side of Square Paper = √Area of square sheet of paper
Number of Total circles = (Side × Side)/ (Diameter × Diameter) 

CALCULATION:

Side of square paper = 28 cm

Let diameter of each circle = d

Number of total circles =  ⇒ d = 7 cm

So,

Radius of each circle = 7/2 = 3.5 cm

Perimeter of each circle = 2 × 22/7 × 3.5 = 22 cm

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