5.
Find the area of blue portion of the irregular shape to the right. Round your answer to the nearest tenth.
2.7 in²
9.7 in²
3.4 in²
8.3 in²
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OpenStudy (anonymous):
OpenStudy (jtvatsim):
think of the question like this...
You have a square cookie, and then you take a circular bite out of the middle.
The cookie that's left after the bite is the blue area.
So, you need to do Area of square - Area of circle = Area of weird shape
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jimthompson5910 (jim_thompson5910):
What do you get for the area of the square?
OpenStudy (anonymous):
I don't know how to get the area of the square because its not telling me the side. I know the radius is 2 and the diameter is 4, but then what? What do i multiply?
jimthompson5910 (jim_thompson5910):
|dw:1360369620399:dw|
jimthompson5910 (jim_thompson5910):
oops it got cut off, it should say
side of square = 4
OpenStudy (anonymous):
okay, side of square is 4...... so then do i ultiply it by 2 to get the area, which would be 8?
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jimthompson5910 (jim_thompson5910):
no, you square it
Area of square = 4^2 = 4*4 = 16 square units
jimthompson5910 (jim_thompson5910):
now use this formula to find the area of the circle
A = pi*r^2
OpenStudy (anonymous):
okay so "r" would be 16 right
jimthompson5910 (jim_thompson5910):
r would be 2
jimthompson5910 (jim_thompson5910):
r = radius
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OpenStudy (anonymous):
oops.....sorry! I am so bad at this! So is the area 12.56?
jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
now subtract the two
OpenStudy (anonymous):
I subtract 12.56 and what?
jimthompson5910 (jim_thompson5910):
that from the area of the square (16)
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jimthompson5910 (jim_thompson5910):
Area of square - Area of circle = 16 - 12.56 = ???
OpenStudy (anonymous):
okay so the answer is 3.44
jimthompson5910 (jim_thompson5910):
you got it
jimthompson5910 (jim_thompson5910):
and you round that to get 3.4
OpenStudy (anonymous):
but thats not one of the answer choices.....
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jimthompson5910 (jim_thompson5910):
you have to round to the nearest tenth like they want
OpenStudy (anonymous):
o ya sorry!
OpenStudy (anonymous):
forgot that! Can you help me on one more please!
jimthompson5910 (jim_thompson5910):
its fine, besides even if it was off a bit, you can't always get the exact area with an approximation
so that's why getting really close is good enough in my book
OpenStudy (anonymous):
3.
Find the area for the given circle. Round to the nearest tenth.
113.0 ft²
124.8 ft²
37.7 ft²
452.2 ft²
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
diameter = 12 ft
radius = 6 ft (cut the diameter in half)
jimthompson5910 (jim_thompson5910):
so r = 6
OpenStudy (anonymous):
okay so its C = pi x r x 2
jimthompson5910 (jim_thompson5910):
they want the area, not the circumference
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jimthompson5910 (jim_thompson5910):
so use A = pi*r^2
OpenStudy (anonymous):
A = 3.14 x 6 x 2
= 113.04?
OpenStudy (anonymous):
when you multiply the two, does it mean to multiply 6 by 6 or 6 by 2
jimthompson5910 (jim_thompson5910):
round to the nearest tenth
OpenStudy (anonymous):
o so its 113.0
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jimthompson5910 (jim_thompson5910):
6^2 means that you square 6
so 6^2 = 6*6 = 36
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
okay cool. ummmmmm.... am i wasting ur time or ca i do 2 more? Then i promise thats it!
jimthompson5910 (jim_thompson5910):
you're not as long as you're learning something
OpenStudy (anonymous):
i am finnally getting it i think hold on let me post the problem...
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OpenStudy (anonymous):
1.
Find the area of the given circle. Round to the nearest tenth.
22.0 cm²
38.5 cm²
11.0 cm²
42.8 cm²