Steve is installing a new window. A diagram of the window is shown below.
Note: Figure not drawn to scale
If a = 33 in and b = 44 in, which of the following is closest to the area of the window?
1,452 in2
2,904 in2
1,879.65 in2
https://app107.studyisland.com/pics/167134q3.png
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OpenStudy (sleepyjess):
We need to find the area of the semicircle, which is area of circle/2
OpenStudy (chosenmatt):
okay
OpenStudy (sleepyjess):
I am going to bed after this question
OpenStudy (chosenmatt):
k
OpenStudy (aaronandyson):
Find the area of the rectangle first?
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OpenStudy (chosenmatt):
how?
OpenStudy (aaronandyson):
Area of rectangle = length times width
OpenStudy (chosenmatt):
okay 1452
OpenStudy (aaronandyson):
In other words Area of rectangle for this one is a times b
OpenStudy (aaronandyson):
Yes,area of this rectangle is 1452 in^2
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OpenStudy (aaronandyson):
Now,find the area of the semi-circle.
OpenStudy (chosenmatt):
#justgotlost
OpenStudy (aaronandyson):
\[Area = \frac{ \pi \times r^2 }{ 2 }\]
OpenStudy (chosenmatt):
so the last answer choies is correct?
OpenStudy (aaronandyson):
r^2 = 33 times 33
pi = 22/7
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OpenStudy (chosenmatt):
so t=it's 1,879.65 in2
OpenStudy (chosenmatt):
?
OpenStudy (chosenmatt):
@Bee_see
OpenStudy (chosenmatt):
HELP I GOTTA GO VERY SOON
OpenStudy (aaronandyson):
area of the semicirle = 1710.6
area of rectangle = 1452
just add the two and then approx
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OpenStudy (chosenmatt):
what is approx?
OpenStudy (aaronandyson):
B
OpenStudy (aaronandyson):
2,904 in2
OpenStudy (chosenmatt):
that's wrong
OpenStudy (chosenmatt):
it was the last one
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OpenStudy (bee_see):
ok. can you redo it? I got 1879,65
OpenStudy (chosenmatt):
:(
OpenStudy (chosenmatt):
this sucks
OpenStudy (aaronandyson):
@perl
Kindly help this guy otherwise the asker will get confused for sure.
OpenStudy (anonymous):
1,879.65 in2
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OpenStudy (anonymous):
radius =33/2
OpenStudy (bee_see):
If you need help getting the answer: area of rectangle= 33X44=1452. Area of circle: piXr^2= piX(16.5)^2. Divide the answer by 2 and you get 427.64. Add it with 1452. We get 1879.649= 1879.65.