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Mathematics 10 Online
OpenStudy (gabbyalicorn):

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

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 \[\pi r ^{2}\]

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

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

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

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

OpenStudy (anonymous):

38.5 x 3.25

OpenStudy (gabbyalicorn):

125.125

OpenStudy (gabbyalicorn):

so D?

OpenStudy (anonymous):

yep

OpenStudy (gabbyalicorn):

:D ty!

OpenStudy (anonymous):

no problem

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