Question

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

Answer 1

Answer:

$15.5\ m^{2}$

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

$b=6\ m$

$h=2\ m$

substitute

$A=6*2=12\ m^{2}$

Step 2

Find the area of semicircle

The area of semicircle is equal to

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

we have

$r=3/2=1.5\ m$

substitute

$A=\frac{1}{2}(3.14)(1.5^{2})=3.5\ m^{2}$

Step 3

Find the area of the figure

$12\ m^{2}+3.5\ m^{2}=15.5\ m^{2}$

Answer 2

Area of Rectangle = 12 m
------------------------------------
a- πr^2
----------
d- 3 m
r- 1.5 m
----------
a-πr^2
a-1.5^2 π
a- 3πm^2 <-- exact answer
a- 3(3.14)
a- .42 <-- approximate answer