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

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

The area is ________

24 POINTS A semicircle is attached to the side of a rectangle as shown What is the best approximation for the area of this figure Use 314 to approximate pi The class=

Respuesta :

Area of the figure = Area of rectangle + area of semi-circle

Area of rectangle = a * b = 6 * 2 = 12 m²

Area of the semi-circle = πr²/2 = 3.14 * (1.5)²/2
A = 3.53

Area of figure = 12 + 3.53 = 15.53 m²

In short, Your Final Answer would be: 15.53 m²

Hope this helps!

Answer:

[tex]15.5\ m^{2}[/tex]

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

[tex]A=bh[/tex]

we have

[tex]b=6\ m[/tex]

[tex]h=2\ m[/tex]

substitute

[tex]A=6*2=12\ m^{2}[/tex]

Step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=3/2=1.5\ m[/tex]

substitute

[tex]A=\frac{1}{2}(3.14)(1.5^{2})=3.5\ m^{2}[/tex]

Step 3

Find the area of the figure

[tex]12\ m^{2}+3.5\ m^{2}=15.5\ m^{2}[/tex]