Question

A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.

Answer 1

Given AB = 60m = DC [length]

BC = 28m = AD [breadth]

Radius of semicircle r =`1/2`× 𝐵𝐶 = 14𝑚

Area of semicircle r =`1/2`× 𝐵𝐶 = 14𝑚

Area of plot = (Area of rectangle ABCD) + (area of semicircle)

= (𝑙𝑒𝑛𝑔𝑡ℎ × 𝑏𝑟𝑒𝑎𝑑𝑡ℎ) +`1/2 pir^2`

= `(60 × 28) + [1/2×22/7× 14 × 14]`

= 1680 + 308 = 1988𝑚²