help area of shaded region

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help area of shaded region

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Can you find area of semicircle?
Semicircle is just half the circle. So it's like finding area of circle, but THEN you divide it by 2.

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yes that 4.71cm2
was that right @geerky42 ?
No.
Area of circle is \(A = \pi r^2\) So to find area of semicircle, you just use this formula then divide by 2.
but you said semi circle so wouldn't it be A=1/2pi r
My point is, to find semicircle, you just find area of circle, then divide by 2. Get it? Also it's \(\pi r^2\), not just \(\pi r\).
So area of semicircle is \(\dfrac{\pi r^2}{2}\)
@geerky42 so 9.42cm2/2=4.71cm2
Radius is 3, so you have \(\dfrac{\pi(3)^2}{2} = \dfrac{9\pi}{2}\approx 14.137\)
Just remember that \(\pi\approx3.14\)
yes you told me that, thats how remember what pi is but how did you get the 9pi over 2
\(3^2 = 9\)
you divide 2 because semicircle
Is that clear?
yes kinda
thank you though @geerky42
Well, we are not done
we got area of semicircle. Now we need to subtract that by area of triangle
(Area of semicircle) - (Area of triangle) Right?
yea
Ok. Area of triangle is \(\dfrac{1}{2}bh\) Do you know base and height here?
but we don't have the area of the triangle so we need to solve for the triangle
Right.
so 3 would be our height
so how would you find the base given only the height
We don't really have to use height to find base. Triangle and semicircle share same base, right?
yes
do the MAGIC! drawing thing geerky
We know that radius of semicircle is 3, so what is diameter?
:D
hahaaaa @camacho01erick that was the best response
lol. though I don't see the need to drawing something here lol.
1.5
maybe I will do magic thing once asker solve something like gif of victory lol.
@Mromanos96 No \(d = 2r\), right?
k
yes
6
|dw:1433962650107:dw|
:0
Yeah so diameter is 6. Therefore base of triangle is 6. MAke sense so far?
yes so next we have 1/2 6*3
|dw:1433962764011:dw|
Sorry yesh that's correct.
lol funny ones
just laughing at ":0"
so thats 3/64 @geerky42 great gif btw
that kinda scares me
@camacho01erick it kinda does if you look at it for a little
ikr
|dw:1433962900186:dw|
how do you do that :D
:0 my favorite show man
@camacho01erick he's a wizard
fa fa fabulas
Anyway, no I got 9 for area of triangle
\(\dfrac{1}{2}*3*6 = 3*3 = 9\)
how didi you do the gif @geerky42
ah how did you get that the only other one i got is a decimal
For area of triangle?
Did you use calculator?
I guess I need to make tutorial @camacho01erick in LaTeX section. I will tag you someday, I promise.
kk
yea
good thing i fanned you @geerky42
Well, put that in calculator 1/2 * 3 * 6
You should get 9, right?
yup
|dw:1433963336155:dw|
so 9cm^2
OK. Now do final thing; (Area of semicircle) - (Area of triangle)
We have \(14.137 - 9\)
we are /\tlas we will follow and we will not forget and will not forgive
5.137
Yep. Sorry first area should be \(14.13\) since we have to use \(3.14\) for pi. But anyways your final answer is \(\boxed{5.13~\text{cm}^2}\)
Is that clear so far?
yes crystal
ok good.
@geerky42 one last question
https://www.mathsisfun.com/data/relative-frequency.html
And here, voting registration status is irrelevant.
So we just need to find how many adult prefer newspapers Then divide it by 252 (total)
Follow me so far?
yes
OK. how nay adults prefer newspaper?
how many*
46+24=70
hi
70 /252= 0.2
Correct. So relative frequency is \(\dfrac{70}{252}=?\)
yeah but close. question said at least two decimal places.
So we have 70/252 = 2.777777777... So round that to .28
0.27
That's your answer.
so it .28 not 0.28
|dw:1433964202516:dw|
Well it is closer to .28 than .27
0.28 and .28 are same
true
so really .28 or 0.28 because ales is very specific on it
I would go with 0.28
ok @geerky42 last one promise
|dw:1433964384649:dw|
sorry no need to use graph
But here, "input" is time spending in texting. Here, you have x = 4 So plug that into best fit line \(y = -0.73x+8.53\)
5.61
\[y = -0.73(\bf\color{blue}4)+8.53\]
yeah 5.61 is your answer.
alright man thanks so much @geerky42
No problem
and um how do you do those gifs lol
|dw:1433964611059:dw|
I will make tutorial of it by tonight. Check tomorrow.
but how on drawing????
I will make tutorial later, I promise. Check tomorrow.
It's little complicated.
ok message us tommorow
I will tag. You want message anyway?
sure
What about you? Or nah? @Mromanos96
yeah tag me also
ok I will tag both you
geerky is a new moderator lol
I wish lol.
but how can you be a moderator anyways
a beginner have done it
You got to apply somewhere... I don't know because I was planning on doing that anyway lol.
|dw:1433964783733:dw|
You can ask that on OpenStudy feedback.
lol he'd be the number one
I wasn't planning*
i copyed yours lol
I can see that ;)
lol
we are /\tlas we will follow we will not forget and we will not forgive
bye

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