CAT Quant · Chapter Test
Area Applications — 25-Question Test
A fresh, mixed-difficulty set drawn from the whole chapter — questions you haven't been asked before. Auto-graded with full solutions; your result is saved to your dashboard.
Building your 25-question test…
Formula Reference Sheet
This chapter
Base area formulas
| Rectangle | A = length × breadth |
|---|---|
| Triangle | A = ½ × base × height |
| Circle / ring | A = πr²; ring = π(R² − r²) |
| Trapezium | A = ½ × (sum of parallel sides) × height |
| Sector of a circle | A = (θ/360) × πr² |
Composite & path tools
| Shaded region | A(shaded) = A(outer) − A(inner) |
|---|---|
| Outer border, width w (rectangle l×b) | A = (l + 2w)(b + 2w) − lb |
| Inner border, width w | A = lb − (l − 2w)(b − 2w) |
| Two crossing roads, width w (field l×b) | A = lw + bw − w² |
| Circular ring / track, width w | A = π[(r + w)² − r²] = πw(2r + w) |
CAT reference
🖩 Graphing Calculator