SOLUTION: Dear Tutor, may you please help me on this problem? May you also show me the steps so I can understand the steps on how to do this proem, thank you! The circumference of a circl

Algebra ->  Circles -> SOLUTION: Dear Tutor, may you please help me on this problem? May you also show me the steps so I can understand the steps on how to do this proem, thank you! The circumference of a circl      Log On


   

Question 698318: Dear Tutor, may you please help me on this problem? May you also show me the steps so I can understand the steps on how to do this proem, thank you!
The circumference of a circle is 88cm. Find the area of the circle. (π(pi)=22/7)
Let the radius of the circle be r,
________________________ r=________
Area of the circle=_______________=________cm%5E2
Thank You!
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

In this case, you need to work backwards to find the radius of the circle!

The formula for the circumference of a circle is C=2%2Api%2Ar

We know that C=88 and we know pi=22%2F7

Just substitute those values into our formula:

88=2%2A%2822%2F7%29%2Ar

88=%2844%2F7%29%2Ar

88%2A%287%2F44%29=r

2%2A7=r

r=14 cm

Now that we have our radius, we can use our Area formula:

A=pi%2Ar%5E2

A=%2822%2F7%29%2A14%5E2

A=%2822%2F7%29%2A196

A=4312%2F7

A=616 cm%5E2

I hope this helps! Keep practicing! :)

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