Module 5 · Mensuration
Chapter 50: Area Applications
Mensuration
3 topics
What this chapter covers
The 3 topics below make up Area Applications on the CAT. Click any topic to open its notes, examples and practice test.
Study material & tests
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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
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