Multiple choice

ABCD is a square inscribed in a circle of radius 14 m. Then the total area (in square units) of the portions of the circle lying outside the square is-/14 मी. त्रिज्या के वृत्त में ABCD एक वर्ग खींचा गया है। वर्ग के बाहर स्थित वृत्त के क्षेत्रों का कुल क्षेत्रफल है।

  1. 220 m2/मी2

  2. 224 m2/मी2

  3. 225 m2/मी2

  4. 230 m2/मी2

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B Correct answer
Explanation

When a square is inscribed in a circle, the diagonal of the square equals the diameter of the circle. Circle radius = 14 m, so diameter = 28 m = diagonal of square. Side of square = diagonal/√2 = 28/√2 = 14√2 m. Area of square = (14√2)² = 392 m². Area of circle = π×14² = 196π ≈ 616 m². Area outside square = 616 - 392 = 224 m². Option A (220 m²) and D (230 m²) are common approximation errors. Option C (225 m²) is unrelated.