A circular piece of metal has a radius of 3.5 meters.
The metal sells for $3.25 per square meter.
What is the total cost of the circular piece of metal?
A.
$11.38
B.
$38.47
C.
$71.44
D.
$125.01
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OpenStudy (anonymous):
first find the area of the metal
OpenStudy (anonymous):
Do you remember the formula for the area of a circle?
OpenStudy (gabbyalicorn):
not really
OpenStudy (gabbyalicorn):
wait yes 3.14
OpenStudy (anonymous):
The formula is
\[\pi r ^{2}\]
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OpenStudy (anonymous):
where r is the radius
OpenStudy (gabbyalicorn):
so 9.8596
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
what's the radius of the circle?
OpenStudy (gabbyalicorn):
umm 3.5
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OpenStudy (anonymous):
yep, so plug it into the formula and tell me what the area is
OpenStudy (gabbyalicorn):
10.99
OpenStudy (anonymous):
no
OpenStudy (anonymous):
what is 3.5^2
OpenStudy (gabbyalicorn):
12.25
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OpenStudy (anonymous):
correct. now multiply that by pi
OpenStudy (gabbyalicorn):
38.465
OpenStudy (anonymous):
yep, 38.5 works
OpenStudy (anonymous):
ok, so that is the area of the metal
OpenStudy (anonymous):
now we need to multiply that value by 3.25 to get the cost
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OpenStudy (gabbyalicorn):
okie so do we multiply 3.25 by π
OpenStudy (anonymous):
no, multiply it by the area
OpenStudy (gabbyalicorn):
which is -3- 3.5?
OpenStudy (anonymous):
you just calculated the area
OpenStudy (gabbyalicorn):
oh 38.5
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OpenStudy (anonymous):
38.5 x 3.25
OpenStudy (gabbyalicorn):
125.125
OpenStudy (gabbyalicorn):
so D?
OpenStudy (anonymous):
yep
OpenStudy (gabbyalicorn):
:D ty!
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