Multiple choice general knowledge math & puzzles

An elf makes a Christmas card in the shape of a semi-circle with a radius of 6 inches. He wishes to stick a rectangular picture of 6 inches width and 3 inches height on it, but finds that the picture does not fully fit within the semi-circle.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a rectangle to fit in a semi-circle of radius R, the distance from the center to the far corners must be <= R. Here, width is 6 (3 from center) and height is 3. Distance = sqrt(3^2 + 3^2) = sqrt(18) ≈ 4.24. Since 4.24 < 6, the picture fits easily. The statement is False.

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