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 rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

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

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

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

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

Answer 2

Answer:

Step-by-step explanation: