The largest possible circle that can be cut from a rectangular sheet is a circle whose diameter is equal to the length of the shorter side of the rectangle (20 cm in this case). So, the radius of the circle is 10 cm.
The area of the circle is given by the formula A = πr², where r is the radius. Substituting r = 10 cm, we get:
A = π(10 cm)²
A = 100π cm²
The area of the remaining sheet is equal to the area of the rectangle minus the area of the circle. The area of the rectangle is 20 cm × 30 cm = 600 cm². So, the area of the remaining sheet is:
600 cm² - 100π cm² ≈ 196.3 cm²
Therefore, the area of the remaining sheet is approximately 196.3 square centimeters.