Question

A semicircle is attached to the side of a rectangle as shown.

Answer 1

Answer:

$122.1\ cm^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of semicircle

Step 1

Find the area of the rectangle

The area of the rectangle is equal to

$A=bh$

we have

$b=18\ cm$

$h=6\ cm$

substitute

$A=18*6=108\ cm^{2}$

Step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=6/2=3\ m$

substitute

$A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}$

Step 3

Find the area of the figure

$108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}$

Answer 2

Area if rectangle = 18*6 = 108
Area of semi circle = pi*r^2/2
Pi * 3^2 / 2
Pi * 4.5
= 14.13716694

Then add both areas for the area of the entire shape:
14.13716694+108 = 122.1371669 cm^2