Question

Question 6
Find the area of the flower bed ( with semi - circular ends ) shown in figure.

Answer 1

Length and breadth of a circular bed are 38 cm and 10 cm

$\therefore$ Area of rectangle ACDF
$=length\times breadth=38\times 10=380c{m}^2$



Both ends of flower bed are semi circles

$\therefore$ Radius of semi - circle $=\frac{DF}{2}=\frac{10}{2}=5cm$

$\therefore$ Area of one semi – circle $=\frac{\pi r^2}{2}$
$=\frac{\pi }{2}(5{)}^2=\frac{25\pi }{2}c{m}^2$

$\therefore$ Area of two semi – circles $=2\times \frac{25}{2}\pi =25\pi c{m}^2$

$\therefore$ Total area of flower bed = Area of rectangle ACDF + Area of two semi - circle

$=(380+25\pi )c{m}^2$