A piece of cardboard is shaped like a square of side 14 cm. A quarter-circle of radius 14 cm is cut away from one corner of the square. Find the area of the remaining (shaded) cardboard. (Take π = 22/7.)
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Worked Solution
Step 1: Find the area of the square. A_square = 14 × 14 = 196 cm².
Step 2: Find the area of the quarter-circle. A_quarter = ¼ × π × r × r = ¼ × 22/7 × 14 × 14.
Step 3: Simplify the quarter-circle. 22/7 × 14 × 14 = 22 × 2 × 14 = 616. Then ¼ × 616 = 154 cm².
Step 4: Subtract the cut-away from the square. Shaded area = 196 − 154 = 42 cm².
Answer: 42 cm².
Answer: 42 cm²
Correct answer: 42 cm²
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