Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.
Solution:
πd = C
πd = 201
3.14(d) = 201
diameter = 64.01
radius is half of the diameter.
radius = 64.01/2
radius = 32
GA = 32
As its sqaure, all sides are equal
GA = AB = GE = EB = 32
using Pythagoras theorem:
32² + 32² = AE²
AE = √2048.8
AE = 45.3 ft