JAMB UTMEMathematicsGeometry2023

Area of a circle radius 7 cm (π = 22/7).

A22 cm²
B44 cm²
C154 cm²CORRECT
D308 cm²
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Why the answer is C, and why the others tempt you.
## The reasoning The area of a circle follows the formula: **A = πr²** Given: radius (r) = 7 cm and π = 22/7 Substitute into the formula: A = (22/7) × 7² A = (22/7) × 49 A = (22 × 49)/7 A = 1078/7 A = **154 cm²** The key principle: **Square the radius first, then multiply by π.** Many students rush and forget to square properly. ## Why the wrong options tempt you **Option A (22 cm²)** — This is what you get if you just multiply π × r without squaring: (22/7) × 7 = 22. You forgot the "squared" part! **Option B (44 cm²)** — You might get this by doubling option A or confusing area with circumference calculations. **Option D (308 cm²)** — This comes from multiplying 154 × 2, possibly confusing diameter with radius somewhere in your working. ## Quick takeaway **Area = π × radius × radius** — always square that radius before multiplying by π, and you'll never fall for these traps again!
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