SOLUTION: The area of a circle is 154 {{{ in^2 }}}. What is the circumference in the nearest inch?

Algebra ->  Formulas -> SOLUTION: The area of a circle is 154 {{{ in^2 }}}. What is the circumference in the nearest inch?      Log On


   

Question 939340: The area of a circle is 154 +in%5E2+. What is the circumference in the nearest inch?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
area of circle (a) =+pi%2Ar%5E2
+pi++=+22%2F7+=3.14
a = 154
+%2822%2F7%29%2Ar%5E2++=+154+
multiply with 7 on both sides
%2822%2F7%29%2Ar%5E2%2A7++=+154%2A7+
22%2Ar%5E2=154%2A7
divide with 22 0n both sides
22%2Ar%5E2%2F22=+154%2A7%2F22
r%5E2+=+7%2A7
+sqrt%28r%5E2%29=+sqrt%287%2A7%29
r= 7 inches
perimeter =2*pi*r
=2%2A%2822%2F7%29%2A7
=44 inches
result: perimeter = 44 inches