A rectangular is 22m long and 12m wide. From it corners quadrants of radius 2.5m have been cut. Find the area of the remaining part.
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Answer:
Area of rectangle = L × B
∴ Area of rectangle = 22 × 12
= 264 cm² ------------------ (1)
Area of corners with radius 2.5 cm is given by (Here ∅ = 90°)
Area of corner = ∅ / 360° × πr²
= 90/360 × 3.14 × 2.5 × 2.5
= 1/4 × 19.625
∴ Area of corner = 4.90625 cm²
In Rectangle there are 4 corners
∴ Area of 4 corners = 4 × 4.90625 = 19.625 cm² ------------(2)
∴ Area of remaining part = Area of rectangle - Area of 4 corners
= 264 - 19.625
∴ Area of remaining part = 244.375 cm²
Step-by-step explanation:
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