In the adjoining figure, OABC is a square of side 7 cm. OAC is a quadrant of a circle with O as center. The area of the shaded region is

1. 10.5 cm²

2. 38.5 cm²

3. 49 cm²

4. 11.5 cm²

Area of square OABC = (7)² = 49 cm².

Area of quadrant OAC = $\dfrac{πr^2}{4}$

$= \dfrac{\dfrac{22}{7} \times (7)^2}{4} \\[1em] = \dfrac{22 \times 7}{4} \\[1em] = \dfrac{154}{4}\\[1em] = 38.5 \text{ cm}^2.$

Area of shaded region = Area of square OABC - Area of quadrant OAC

= 49 - 38.5 = 10.5 cm².

Hence, Option 1 is the correct option.