A square of side 14 cm has a quarter circle of radius 14 cm cut from one corner. Find the area of the remaining shaded shape. (Take π = 22/7.)
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Worked Solution
Step 1: Identify the composite as: square area minus quarter circle area.
Step 2: Area of square = 14 × 14 = 196 cm².
Step 3: Area of quarter circle = ¼ × πr² = ¼ × 22/7 × 14² = ¼ × 22/7 × 196 = ¼ × 616 = 154 cm².
Step 4: Remaining shaded area = 196 − 154 = 42 cm².
Final: 42 cm².
Answer: 42 cm²
Correct answer: 42 cm²
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