A square has a side of 10 cm. A quarter circle with radius 10 cm is drawn inside the square with its centre at one corner. What is the area of the shaded region that is inside the square but outside the quarter circle? (Use π = 3.14)
Show Worked Solution
Worked Solution
Step 1: Area of square = side × side = 10 × 10 = 100 cm².
Step 2: Area of quarter circle = ¼ × πr² = ¼ × 3.14 × 10² = ¼ × 314 = 78.5 cm².
Step 3: Shaded area = area of square − area of quarter circle = 100 − 78.5 = 21.5 cm².
Answer: 21.5 cm²
Correct answer: 21.5 cm²
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