Problem: If p is the perimeter of an equilateral triangle inscribed in a circle, the area of the circle is:
Answer Choices:
A. 3Οp2β
B. 9Οp2β
C. 27Οp2β
D. 81Οp2β
E. 27Οp23ββ
Solution:
R=32β altitude =32ββ
21ββ
3pβ3β=33βpββ΄A=27Οp2β