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.

Answer 1

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`(𝑎𝑟𝑒𝑎 𝑜𝑓 𝑐𝑖𝑟𝑐𝑙𝑒 𝑤𝑖𝑡ℎ 𝑟𝑎𝑑𝑖𝑢𝑠 3.5𝑚)

=`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