Question

In the figure above, XYZ is equilateral, with side of length. If WY is a diameter of the circle with center O, then the area of the circle is

(A) √3π/4
(B) 2π/3
(C) 3π/4
(D) π
(E) 3π/2

Answer 1

Y W = 2√3 / 2 = √3
O W = r = √3 / 2
Area of the circle:
A = r² π = ( √3/2 ) π = 3 π / 4
Answer: C ) 3 π / 4