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GATE 2021 XH2 – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

O is the centre of the circle and M and N lie on it. Right triangle MON has area50 cm². Find the circle’s area in cm².

Diagram for GATE 2021 XH2 question 3
  1. 2π
  2. 50π
  3. 75π
  4. 100π

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Show answer and explanation

Correct answer: (D) 100π

Explanation

OM=ON=r because both are radii. The right angle is therefore between these equal radii, giving triangle area r²/2=50. Hence r²=100 and the circle area isπr²=100π, D.

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