A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
Answers
Answer:
The area of the remaining part is 261.5 m².
Step-by-step explanation:
Given :
Length of a rectangular piece, l = 20 m
Breadth of a rectangular piece, b = 15 m
Radius of a quadrant,r = 3.5 m
Area of rectangle, A1 = l × b
A1 = 20 × 15 = 300 m²
A1 = 300 m²
Area of quadrant, A2 = ¼ πr²
A2 = ¼ × 22/7 × (3.5)²
A2 = (11 × 0.5 × 3.5)/2
A2 = (5.5 × 3.5)/2
A2 = 19.25/2
A2 = 9.625
Area of quadrant = 9.625 m²
Area of the remaining part ,A = Area of rectangle - 4× Area of quadrant
A = A1 - 4×A2
A = 300 - 4 × 9.625
A = 300 - 38.5
A = 261.5 m²
Area of the remaining part = 261.5 m²
Hence, the area of the remaining part is 261.5 m².
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