HOTS Mathematics Primary 6 Circles

A composite figure is made of a square with side 14 cm and a semicircle attached to one of its sides (the diameter of the semicircle equals the side of the square). What is the total area of the figure? (Take π = 22/7)

A 147 cm²
B 196 cm²
C 273 cm²
D 350 cm²
Show Worked Solution

Worked Solution

Step 1: Area of square = 14 × 14 = 196 cm². Step 2: Radius of semicircle = 14/2 = 7 cm. Area of semicircle = 1/2 × πr² = 1/2 × 22/7 × 49 = 77 cm². Step 3: Total area = 196 + 77 = 273 cm². Answer: 273 cm²

Correct answer: 273 cm²

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