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GATE 2023 ST – Question 3

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 1 mark · Multiple choice

PQRSTV is a regular hexagon of side 5 cm. A circle centered at V passes through P. Find the shaded area in cm² in the figure.

Diagram for GATE 2023 ST question 3
  1. 25π/3
  2. 20π/3
  3. 6π
  4. 7π

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Show answer and explanation

Correct answer: (A) 25π/3

Explanation

The radius VP=VT=5 cm. The interior angle PVT of a regular hexagon is 120°. The shading is the circular sector between VP and VT, so area=(120/360)π·5²=**25π/3, A**.

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