Question

Semi-circular lawns are attached to the edges of a rectangular field measuring $42m\times 35m$. The area of the total field is:

• A. $3818.5m^2$
• B. $8318m^2$
• C. $5813m^2$
• D. $1358m^2$

Answer 1

The correct option is A $3818.5m^2$

Given, length of field $=42m$
Breadth of field $=35m$
Radius of semi circles along length $=\frac{42}{2}m=21m$
Radius of semi circles along breadth $=\frac{35}{2}m=17.5m$
Now,

Total area of the field $=$ Area of rectangle $+$ Area of circle formed along length $+$ Area of circle formed along breadth
$=l\times b+\pi (21{)}^2+\pi (17.5{)}^2{m}^2$
$=(42\times 35+1386+962.5)m^2$ (take $\pi =\frac{22}{7}$)
$=3818.5m^2$

So, Total Area of the field $=3818.5m^2$