What kind of number \(\frac{\pi}{2}\) is?

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. Rational
  2. Irrational
  3. Non real
  4. None of these 

Answer (Detailed Solution Below)

Option 2 : Irrational
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Concept -

Irrational Number

irrational numbers are real numbers that cannot be expressed as a simple fraction. They have decimal representations that neither terminate nor repeat.

Examples include the square root of non-perfect squares like √2 or mathematical constants like π. These numbers extend infinitely without a pattern, distinguishing them from rational numbers, which can be expressed as fractions.

Explanation -

The number π/2 is an irrational number. It's the result of dividing the mathematical constant π (pi) by 2. Irrational numbers cannot be expressed as a simple fraction, and their decimal expansions neither terminate nor repeat. When π (approximately 3.14159) is divided by 2, the result is approximately 1.5708, but the decimal continues infinitely without a repeating pattern.

Hence option (2) is true.

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