A builder is remodeling a circular deck to increase the diameter from 8 feet to 14 feet. By how much will the circumference of the deck increase? By how much will the area of the deck increase?
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OpenStudy (helpmeplease14):
@Mehek14
Mehek (mehek14):
ok so find the circumference of each and the area
OpenStudy (helpmeplease14):
Which formula for the circumference?
OpenStudy (helpmeplease14):
I think its C=pi2r
Mehek (mehek14):
circumference is 2πr
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OpenStudy (kendricklamar2014):
\[Radius = Diameter / 2\]
OpenStudy (helpmeplease14):
K
OpenStudy (kendricklamar2014):
To find the increase, first we need to find the Circumference of the first deck
OpenStudy (kendricklamar2014):
\[C = 2*3.14*8 = 50.27..\]
OpenStudy (helpmeplease14):
A= 200.96
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OpenStudy (kendricklamar2014):
Now we need to find the remodeled one:\[C = 2 * 3.14 * 14 = 87.96..\]
OpenStudy (kendricklamar2014):
Do you have any answer choices?
OpenStudy (kendricklamar2014):
@HelpMePlease14
OpenStudy (helpmeplease14):
No
OpenStudy (kendricklamar2014):
OK, so to find the increase we take:\[87.96 - 50.27 = 37.69 ; ~ Rounded: 38\]
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OpenStudy (helpmeplease14):
I got 87.92
OpenStudy (helpmeplease14):
As the circumference with 14 inches
OpenStudy (kendricklamar2014):
For the Radius did you use 3.14 or pi
OpenStudy (helpmeplease14):
3.14
OpenStudy (kendricklamar2014):
Well its still 87 so... its not that important
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OpenStudy (helpmeplease14):
C = 2 pi r
C = 2 (3.14) 14
C = 6.28 (14)
C = 87.92
OpenStudy (helpmeplease14):
Ok
OpenStudy (kendricklamar2014):
So the answer is 38(Rounded)
OpenStudy (helpmeplease14):
That's how much will the circumference of the deck increase?
OpenStudy (kendricklamar2014):
Yes that is how much the Circumference will increase
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OpenStudy (helpmeplease14):
OK thx
OpenStudy (kendricklamar2014):
Your Welcome
OpenStudy (helpmeplease14):
How to simplify 414.48 into a whole number?
OpenStudy (kendricklamar2014):
Whole numbers: Numbers with no fractions, decimals, or negative. So we need to round 414.48
OpenStudy (helpmeplease14):
Will it be 414?
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OpenStudy (helpmeplease14):
@KendrickLamar2014
OpenStudy (kendricklamar2014):
You got it =)
OpenStudy (helpmeplease14):
Thx
OpenStudy (helpmeplease14):
@KendrickLamar2014 can u help me with another problem?
OpenStudy (kendricklamar2014):
i'll try
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OpenStudy (helpmeplease14):
K the question:
How do circumference and area change when the radius of a circle is doubled? Give an example.