Respuesta :

answer: 151.25 cm^2
explanation: separate into rectangle and semi circle. you can find out the diameter and radius of the semi circle by subtracting the 6 from the top from the 16 of the bottom because the diameter of the circle plus the 6 take up the same length.
16 - 6 = 10
for radius divide by 2
10 / 2 = 5
area of rectangle: l x w
16 x 7 = 112
area of semi circle: 1/2(pi)r^2
1/2(3.14)5^25 = 39.25
add up the two areas to find the area of the entire figure
112 + 39.25 = 151.25
brittwolf52

Answer:

151.25cm

Step-by-step explanation:

First split the the shape into two, a rectangle and a semicircle.

Let's begin with the rectangle. The formula for the area of a rectangle is

A = l × w

A = 16 × 7

A = 112

Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.

The formula for the area of a semicircle is

A = [tex]\frac{\pi r^{2} }{2}[/tex]          (fill in what you know)

A = [tex]\frac{3.14 (5^{2} )}{2}[/tex]     (The radius is half the diameter. So 10 ÷ 2 = 5)

A = [tex]\frac{3.14(25)}{2}[/tex]     (Solve what's in the parentheses first)

A = [tex]\frac{78.5}{2}[/tex]          (multiply pi and 25)

A = 39.25

Now all we have to do is add the two areas to get the combined area of the whole.

A = 112 + 39.25

A = 151.25

Otras preguntas