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The perimeter of a square is equal to twice the perimeter of a rectangle of length 10 cm and breadth 4 cm. What is the circumference of a semi-circle whose diameter is equal to the side of the square?
  • a)
    38 cm
  • b)
    23 cm
  • c)
    46 cm
  • d)
    36 cm
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The perimeter of a square is equal to twice the perimeter of a rectang...
Perimeter of square = 2(l + b)
= 2 * 2(10 + 4) = 2 * 28 = 56 cm
Side of square = 56/4 = 14 cm
Radius of semi circle = 14/2 = 7cm
Circumference of the semi-circle = 22/7 * 7 + 14 = 36 cm
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Most Upvoted Answer
The perimeter of a square is equal to twice the perimeter of a rectang...
Perimeter of square = 2(l + b)
= 2 * 2(10 + 4) = 2 * 28 = 56 cm
Side of square = 56/4 = 14 cm
Radius of semi circle = 14/2 = 7cm
Circumference of the semi-circle = 22/7 * 7 + 14 = 36 cm
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Community Answer
The perimeter of a square is equal to twice the perimeter of a rectang...
Given:
Perimeter of a square = 2 × Perimeter of a rectangle of length 10 cm and breadth 4 cm.

Let the side of the square be ‘a’.
Perimeter of the square = 4a
Perimeter of the rectangle = 2(10+4) = 28

Given, 4a = 2 × 28
a = 14

Hence, the side of the square is 14 cm.

Circumference of a semicircle = πd/2 = (πa)/2

Given, diameter of the semicircle = side of the square = 14 cm
Circumference of the semicircle = (π × 14)/2 = 22 × π

Therefore, the circumference of the semicircle is 22π or approximately 69.12 cm.

Hence, the correct option is (D) 36 cm.
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The perimeter of a square is equal to twice the perimeter of a rectangle of length 10 cm and breadth 4 cm. What is the circumference of a semi-circle whose diameter is equal to the side of the square?a)38 cmb)23 cmc)46 cmd)36 cme)None of theseCorrect answer is option 'D'. Can you explain this answer?
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