Question

What is the total area of this composite figure? All angles are right angles.
https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_quiz10d_composite_figure.gif


54 in.2
75 in.2
72 in.2
90 in.2

Answer 1

what grade is this

Answer 2

7th'

Answer 3

ok

Answer 4

one more thing guys

Answer 5

ya

Answer 6

@kitten123 Your answer is wrong. Can you show how you reached that answer?

Answer 7

What is the area of the semicircle in this composite figure rounded to the nearest hundredth?



3.53 ft2
7.07 ft2
28.26 ft2
14.13 ft2

Answer 8

Let's first answer your original question. To find the area, we need to split the figure into two shapes. We can make it two rectangles. And we know how to find the area of a rectangle.

Area = base * width

So we just find the area of each rectangle and if we add it up, we will get the total area of the composite figure.

Do you know what those lines on the border of the rectangles mean?

Answer 9

no

Answer 10

and i think the area of the little rectangle is 12 right

Answer 11

Asked & Answered here.

Answer 12

The || on the top and bottom of the rectangle mean that those two sides are the same length.
The - on the left and right of the rectangle mean that those two sides are the same length

Answer 13

im confused

Answer 14

i thought those were the numbers so now what

Answer 15

I split the original image into two rectangles

Answer 16

so theres soppost to be another 12 on top of the bottom 12 right

Answer 17

Those little lines on the sides of the rectangle mean that they are all the same length.

Answer 18

Yes, here let me separate the two rectangles even more so you can see it clearly

Answer 19

and just asking is the answer 75in2

Answer 20

No. Let's take it one step at a time.

What's the area of the small rectangle?
What's the area of the big rectangle?

Answer 21

Remember:
Area = length * width

Answer 22

i see so the answer is 90in2'

Answer 23

Yes. But I do hope you reached that answer by calculating the areas and not by guessing.

Answer 24

i did not guess i promise

Answer 25

now to the other question

Answer 26

narutouzamaki5Medals 0
What is the area of the semicircle in this composite figure rounded to the nearest hundredth?



3.53 ft2
7.07 ft2
28.26 ft2
14.13 ft2

17 minutes agoQuote
1 attachments
image.png image.png

Answer 27

Do you know the formula to find the area of the semicircle?

Or at least the formula to find the area of a circle?

Answer 28

the formula for area, A, is A = pi * r^2

Answer 29

That's for an entire circle. A semicircle is half a circle so the formula for area becomes:

Area = 1/2 * pi* r^2

Answer 30

What is the radius?

Answer 31

i think the answer is 28.26ft2

Answer 32

I haven't solved it yet so can you show me how you got to that answer?

Answer 33

was i correct

Answer 34

Like I said, I haven't plugged in the numbers yet because we stopped at trying to find the radius of the circle.

What numbers did you plug in to get 28.26?

Answer 35

no im just asking cause my friend and i was solving one or not the same one as this and i think the answer he said was 28.26ft2

Answer 36

What is the radius of the circle?

Hint:

Answer 37

what is that

Answer 38

The radius of a circle is the distance from the center of the circle to the end

Answer 39

and the radiuse is 3

Answer 40

@Ultrilliam Requsting post lock

Answer 41

3 would be our diameter. The diameter is the line that goes through the center from one end of the circle to the other end.

Diameter = Radius * 2

So if the diameter is 3, that means the radius is half of that.
What would that make the radius?

Answer 42

um

Answer 43

umm idk u lost me now

Answer 44

The radius is half of the diameter

Maybe this will help you visualize it better
https://useruploads.socratic.org/6WuMchVaTe63kub7pvXZ_396aba70-4a58-4358-9975-3535a6f8092f.gif

The diameter is the total length through the center. The radius is 1/2 the diameter.

What is half of 3?

Answer 45

so is the radiuse 1 and 1/2

Answer 46

Yes! The radius is 1.5

Do you remember the formula for the area of a semicircle? Plug in 1.5 for r

Area = 1/2 * pi * r^2
Area = ??

Answer 47

4.5

Answer 48

Check your work again. You made a mistake when multiplying the numbers somehow.

Area = 0.5 * 3.14 * (1.5)^2

Answer 49

so the answer is a

Answer 50

3.53

Answer 51

and there you have it!

Also, some advice (if I may): it's probably a good idea to not trust your friend's answers.

Answer 52

ok

Answer 53

thx alot

Answer 54

My pleasure!