Mathematics
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OpenStudy (anonymous):
help area of shaded region
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OpenStudy (anonymous):
@
geerky42 (geerky42):
Can you find area of semicircle?
geerky42 (geerky42):
Semicircle is just half the circle.
So it's like finding area of circle, but THEN you divide it by 2.
OpenStudy (anonymous):
yes that 4.71cm2
OpenStudy (anonymous):
@geerky42
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OpenStudy (anonymous):
was that right @geerky42 ?
OpenStudy (anonymous):
@Michele_Laino
geerky42 (geerky42):
No.
geerky42 (geerky42):
Area of circle is \(A = \pi r^2\)
So to find area of semicircle, you just use this formula then divide by 2.
OpenStudy (anonymous):
but you said semi circle so wouldn't it be A=1/2pi r
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geerky42 (geerky42):
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 \(\pi r\).
geerky42 (geerky42):
So area of semicircle is \(\dfrac{\pi r^2}{2}\)
OpenStudy (anonymous):
@geerky42 so 9.42cm2/2=4.71cm2
geerky42 (geerky42):
Radius is 3, so you have \(\dfrac{\pi(3)^2}{2} = \dfrac{9\pi}{2}\approx 14.137\)
geerky42 (geerky42):
Just remember that \(\pi\approx3.14\)
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OpenStudy (anonymous):
yes you told me that, thats how remember what pi is but how did you get the 9pi over 2
geerky42 (geerky42):
\(3^2 = 9\)
geerky42 (geerky42):
you divide 2 because semicircle
geerky42 (geerky42):
Is that clear?
OpenStudy (anonymous):
yes kinda
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OpenStudy (anonymous):
thank you though @geerky42
geerky42 (geerky42):
Well, we are not done
geerky42 (geerky42):
we got area of semicircle. Now we need to subtract that by area of triangle
geerky42 (geerky42):
(Area of semicircle) - (Area of triangle)
Right?
OpenStudy (anonymous):
yea
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geerky42 (geerky42):
Ok. Area of triangle is \(\dfrac{1}{2}bh\)
Do you know base and height here?
OpenStudy (anonymous):
but we don't have the area of the triangle so we need to solve for the triangle
geerky42 (geerky42):
Right.
OpenStudy (anonymous):
so 3 would be our height
OpenStudy (anonymous):
so how would you find the base given only the height
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geerky42 (geerky42):
We don't really have to use height to find base.
Triangle and semicircle share same base, right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
do the MAGIC! drawing thing geerky
geerky42 (geerky42):
We know that radius of semicircle is 3, so what is diameter?
OpenStudy (anonymous):
:D
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OpenStudy (anonymous):
hahaaaa @camacho01erick that was the best response
geerky42 (geerky42):
lol. though I don't see the need to drawing something here lol.
OpenStudy (anonymous):
1.5
geerky42 (geerky42):
maybe I will do magic thing once asker solve something like gif of victory lol.
geerky42 (geerky42):
@Mromanos96 No
\(d = 2r\), right?
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OpenStudy (anonymous):
k
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
6
geerky42 (geerky42):
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