# SOLUTION: if the circumference of a circle is 16 cm .what is the area?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: if the circumference of a circle is 16 cm .what is the area?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 589343: if the circumference of a circle is 16 cm .what is the area?Answer by nyc_function(2733)   (Show Source): You can put this solution on YOUR website!The circumference of a circle is the perimeter of the circle. We must use the formula C = 2pir to find the radius of the circle as step one. The circumference is given to be 16cm. In that case, let C = 16 and solve for r. In other words, we are searching for the radius. C = 2pir 16 = 2pir 16/2pi = r (8/pi) = r Now that we know the value for r (our radius), we use the formula for finding the area of the circle. The formula for finding the area of a circle is: A = pi(r^2) Let r = (8/pi) A = pi(8/pi)^2 A = pi(64/(pi)^2 A = (64/pi)cm^2 Did you follow or are you still lost?