Question

Find the ratio of area of shaded region in figure (i) to that of figure (ii).

Hint:

In area-ratio problems, if the radii and central angles are identical, the areas will always be equal regardless of the orientation of the figure.

Answer 1

Step 1: Solving OR (B):
1. Figure (i) usually represents a segment or quadrant. Area $\propto r^2$.
2. Figure (ii) usually represents a similar shape with different constraints.
3. If figure (i) is a full circle and (ii) is a square circumscribing it, the ratio involves $\pi$.
4. Without the visual dimensions, we generally find the ratio of $(Area_1 / Area_2)$ which results in a constant like $1:1$ if shapes are congruent but oriented differently.
Step 2: Final Answer (OR):
The ratio is $1:1$ (for congruent shaded areas).