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Question
A rectangular piece is 20m long and 15m wide from its four corners, quadrants of 3.5m radius have been cut. Find the area of remaining part.
Solution
Length of rectangular piece l = 20m
Breadth of rectangular piece b = 15m
Radius of each quadrant r = 3.5m
Area of rectangular piece = (length × breadth) = 20 × 15 = 300m2.
Area of quadrant each =`1/4`(๐๐๐๐ ๐๐ ๐๐๐๐๐๐ ๐ค๐๐กโ ๐๐๐๐๐ข๐ 3.5๐)
=`1/4×pir^2`
=`1/4×22/7× 3.5 × 3.5 =38.5/4 m^2`
Area of remaining part = [area of rectangular piece] – 4[area of each quadrant]
= 300 – 4` [385/4]` = 300 – 38.5
= 261.5m2
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