Problem: The circumference of a circle is 100 inches. The side of a square inscribed in this circle, expressed in inches, is:
Answer Choices:
A. π252​​
B. π502​​
C. π100​
D. π1002​​
E. 502​
Solution:
Since 100=πd,d=π100′′​. Let s​ be the side of the inscribed square.
s=2​d​=π2​100​=π502​​