Multiple choice

From a rectangular sheet of cardboard of size $5\ cm \times 2\ cm$, the greatest possible circle is cut off. What is the area of the remaining part?

  1. $(25 - \pi)cm^{2}$
  2. $(10 - \pi)cm^{2}$
  3. $(4 - \pi)cm^{2}$
  4. $(10 - 2\pi)cm^{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rectangle 5x2. Largest circle has diameter 2, radius 1. Area of rectangle = 10. Area of circle = pi * 1^2 = pi. Remaining area = 10 - pi.

AI explanation

The diameter of the greatest possible circle cut from the 5 cm by 2 cm rectangle equals the shorter side, making the radius 1 cm. The area of this circle is (1)^2 = . The area of the cardboard is 5 * 2 = 10 cm^2, so subtracting the circle's area leaves (10 - ) cm^2.

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