Multiple choice

If a circle is inscribed in a square of side $10$ , so that the circle touches the four sides of the square internally then radius of the circle is

  1. $10$
  2. $5\sqrt 2 $
  3. $10\sqrt 2 $
  4. $5$
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D Correct answer
Explanation

If a circle is inscribed in a square, the diameter of the circle is equal to the side of the square. Diameter = 10, so radius = 5.

AI explanation

When a circle is inscribed in a square, its diameter equals the side length of the square. The diameter is 10, so the radius is half of that, which is 5.

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