Question

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

Answer 1

Answer:

$58.8\ mm^{2}$

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

$b=9\ mm$

$h=3\ mm$

substitute

$A=9*3=27\ mm^{2}$

Step 2

Find the area of semicircle

The area of semicircle is equal to

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

we have

$r=9/2=4.5\ m$

substitute

$A=\frac{1}{2}(3.14)(4.5^{2})=31.8\ mm^{2}$

Step 3

Find the area of the figure

$27\ mm^{2}+31.8\ mm^{2}=58.8\ mm^{2}$