JAMB UTMEMathematicsGeometry2023

Find the area of a circle of radius 7 cm (π = 22/7).

A22 cm²
B44 cm²
C154 cm²CORRECT
D308 cm²
AI
Toasta AI Explanation
Why the answer is C, and why the others tempt you.
**The reasoning** The formula for the area of a circle is **A = πr²**, where r is the radius. Given: r = 7 cm and π = 22/7 Let's substitute: A = πr² A = (22/7) × 7² A = (22/7) × 49 Now simplify: The 7 in the denominator cancels with 49: A = 22 × 7 = **154 cm²** The key principle: **Area of a circle = πr²** (remember: radius *squared*, then multiply by π) **Why the wrong options tempt you** - **Option A (22 cm²)**: You forgot to square the radius and just did 22/7 × 7 = 22. Classic mistake! - **Option B (44 cm²)**: You might have calculated circumference (2πr = 2 × 22/7 × 7 = 44) instead of area. Wrong formula! - **Option D (308 cm²)**: You probably used diameter instead of radius, calculating π × 14² ÷ 4, or made an arithmetic error. **Quick takeaway** For circle area, always **square the radius first** before multiplying by π — it's A = πr², not A = πr!
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