Multiple choice

From four corners of a square sheet of side 8cm, four pieces, each in the shape of arc of a circle with radius 4 cm. are cut out the area of a remaining portion is- 8 सेमी. भुजा वाले चारों कोने से 4 सेमी. त्रिज्या वाले वृ़त्त के चाप के आकार में चार टुकड़े काटकर अलग कर दिए हैं, तदनुसार शेष आकृति क क्षेत्रफल कितना है ?

  1. (4–π) cm2/सेमी2

  2. 16(4–π) cm2/सेमी2

  3. 8(4–π) cm2/सेमी2

  4. 7(4–π) cm2/सेमी2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original square area = 8² = 64 cm². Four quarter-circles (or one full circle) of radius 4 cm are removed from corners. Area removed = π × 4² = 16π cm². Remaining area = 64 - 16π = 16(4 - π) cm². The key insight is recognizing that four quarter-circles equal one complete circle.

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