Multiple choice general knowledge math & puzzles

A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

  1. 38.5 sq.m

  2. 155 sq.m

  3. 144 sq.m

  4. 19.25 sq.m

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A Correct answer
Explanation

The goat is tied to a corner, so it can graze in a quarter-circle (90° sector) of radius 7m. Area of full circle = πr² = π×49. Quarter of this = π×49/4 = 38.48 ≈ 38.5 sq.m. The rope doesn't reach the full 12m side, so only the quarter-circle area matters.