A square has side 28 cm. Four identical quarter circles, each with radius 14 cm, are drawn inside the square — one centred at each corner. The four quarter circles together cover the central region of the square. Find the area of the SHADED corner regions (the parts of the square NOT covered by any quarter circle). (Take π = 22/7.)
Show Worked Solution
Worked Solution
Step 1: Area of square = 28² = 784 cm².
Step 2: Four quarter circles together = one full circle of radius 14: area = π × 14² = (22/7) × 196 = 616 cm².
Step 3: Shaded corners = 784 − 616 = 168 cm².
Answer: 168 cm²
Correct answer: 168 cm²
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