Final answer:
No, the circular mirror measuring 220 cm in diameter cannot pass through the rectangular doorway with inside dimensions of 200 cm by 75 cm because the diagonal of the doorway is approximately 212 cm which is less than the diameter of the mirror.
Step-by-step explanation:
No, To determine if a circular mirror measuring 220 cm in diameter could pass through a rectangular doorway with inside dimensions of 200 cm by 75 cm, we need to consider the dimensions of the doorway and the size of the mirror. The diameter of the mirror is 220 cm, which means the radius of the mirror is half of that, 110 cm. If we try to pass the mirror through the doorway in the most optimal way, which would be diagonally, we need to compute the diagonal of the doorway. Using the Pythagorean theorem, the diagonal d of the rectangle can be found using the formula d = √(length² + width²). This would be d = √(200² + 75²), which approximately equals 212 cm. Unfortunately, the diagonal of the doorway (approximately 212 cm) is less than the diameter of the mirror (220 cm). Therefore, the mirror cannot pass through the doorway.