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svet-max [94.6K]
3 years ago
13

Find the area if the circumference is 31.4. Please state the problem with complete sentences.

Mathematics
1 answer:
Marianna [84]3 years ago
7 0
The formula for the circumference of a circle is π x diameter
Since we already know the circumference, we divide that by π to get the diameter:

circumference = π x diameter              
so 
circumference / π = diameter 

Now lets do this:

31.4 / π = 9.9949...  (this is the diameter)

-----------------------------------------------------------------------
The formula for the area of a circle is π r²

To get the radius, we just halve the diameter:
9.9949.. / 2 = 4.99746...  

Now that we know the radius we can use the formula:

 π x r²
= π x 4.99746²
= 78.46ft²

So the area is:
78.46ft²
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