The area of shaded region given below is – When ABCD is a square of side 14 cm.
2022
The area of shaded region given below is –
When ABCD is a square of side 14 cm.


- A.
32 cm²
- B.
42 cm²
- C.
52 cm²
- D.
62 cm²
Attempted by 33 students.
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Correct answer: B
Solution: Find the shaded area (area of the square minus the area of the four circles).
Determine the radius of each circle. Two circles fit along one side of the square, so the side length equals four times the radius: 4r = 14 cm. Therefore r = 14/4 = 3.5 cm.
Area of the square = 14^2 = 196 cm².
Area of one circle = πr^2 = π × (3.5)^2 = 12.25π cm². Area of four circles = 4 × 12.25π = 49π cm².
Shaded area = area of square − area of four circles = 196 − 49π cm².
Numeric approximation: 49π ≈ 153.94, so shaded area ≈ 196 − 153.94 = 42.06 cm². Therefore the nearest value 42 cm² is the correct choice.