Multiple choice

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered) Quantity I : Area of an equilateral triangle whose altitude is 3 √3 cm. Quantity II : Area of circle whose radius is 3.5 cm.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I <Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: For equilateral triangle with altitude 3√3 cm, side = 2×3√3/√3 = 6 cm, Area = (√3/4)×6² = 9√3 ≈ 15.59 cm². Quantity II: Circle with radius 3.5 cm has Area = π×3.5² = 12.25π ≈ 38.50 cm². Since 15.59 < 38.50, Quantity I is less than Quantity II.

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