anonymous
  • anonymous
WHAT IS THE AREA OF A CIRCLE WITH THE CIRCUMFERENCE OF 31.4CM?
Mathematics
chestercat
  • chestercat
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pottersheep
  • pottersheep
Think about it. Whats the formula for circumference?
anonymous
  • anonymous
\[circumference = 2 \pi r\]find r then \[area = \pi r^2\]
anonymous
  • anonymous
for finding area we need value of radius .... circumference = 2πr Area = πr^2

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pottersheep
  • pottersheep
31.4CM =2πr r = 4.99
pottersheep
  • pottersheep
Get it? Cuz 31.4CM divided by 2 divided by π gives you r
pottersheep
  • pottersheep
Round that number to 5.
pottersheep
  • pottersheep
Now plug the new radius into the area formula
pottersheep
  • pottersheep
πr2
pottersheep
  • pottersheep
π5^2
pottersheep
  • pottersheep
= 78.5cm3
anonymous
  • anonymous
pottersheep has just established that:\[\text{area of a circle}=\frac{c^2}{4 \pi }\]

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