In a circle the Greek letter π is used to represent the ratio of ________.

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  1. Circumference/Diameter
  2. Radius/Circumference
  3. Diameter /Circumference
  4. Circumference/Radius 

Answer (Detailed Solution Below)

Option 1 : Circumference/Diameter
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Explanation:

Pi (π):

  • The number π ("pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

​Circumference of the circle = 2 × π × r = π × d

Where r = radius of the circle, d = diameter of the circle

  • The number π appears in many formulae across mathematics and physics.
  • It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as 22/7 are commonly used to approximate it.
  • Consequently, its decimal representation never ends, nor enters a permanently repeating pattern.
  • It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers.
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