Multiple choice

A rectangular sheet of cardboard us 4 cm by 2 cm The greatest possible circle is cut off from the cardboard then the remaining area is

  1. $ \displaystyle (16-\pi )$ $ \displaystyle cm^{2}$
  2. $ \displaystyle (16-4\pi )$ $ \displaystyle cm^{2}$
  3. $ \displaystyle (8-\pi )$ $ \displaystyle cm^{2}$
  4. $ \displaystyle (8-4\pi )$ $ \displaystyle cm^{2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The cardboard area is 4 × 2 = 8 cm^2. The largest circle has diameter 2 cm, so its radius is 1 cm and its area is pi cm^2. The remaining area is 8 - pi cm^2.

AI explanation

The cardboard area is 4 cm times 2 cm, giving 8 square cm. The greatest possible circle must have a diameter of 2 cm, so its radius is 1 cm and its area is pi times 1 squared, which equals pi. Subtracting the circle area from the total cardboard area leaves an area of 8 minus pi square cm.

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