RRB ALP CBT I 17 Feb 2026 Shift 2 Paper

Concept:The side of the square equals the diameter of the circle, so find the side first from the square's area, then compute the circle's area using its radius.Explanation:Given that the area of the square is $196 \text{ cm}^2$.Using the formula for the area of a square: $\text{Area} = \text{side}^2$.Substitute the given value: $\text{side}^2 = 196$.Taking the square root on both sides: $\text{side} = \sqrt{196} = 14 \text{ cm}$.According to the question, the side of the square is equal to the diameter of the circle.Therefore, the diameter of the circle is $d = 14 \text{ cm}$.The radius of the circle is half of the diameter: $r = \frac{d}{2} = \frac{14}{2} = 7 \text{ cm}$.Now, use the formula for the area of a circle: $\text{Area} = \pi r^2$.Substitute $\pi = \frac{22}{7}$ and $r = 7$: $\text{Area} = \frac{22}{7} \times (7)^2$.Simplify the expression: $\text{Area} = \frac{22}{7} \times 49 = 22 \times 7 = 154 \text{ cm}^2$.Hence, the area of the circle is $154 \text{ cm}^2$.Answer:The area of the circle is $154 \text{ cm}^2$, which matches option D.