Quadrilateral EFGH is inscribed in a circle. For positive real numbers, a, b, c, and d, let EF = √a, FG = √b, GH = √c, and HE = √d. If a + d = b + c, find the area of the circle.

Printable View

- Apr 1st 2011, 01:51 PMchris520Area of Circle with inscribed quadrilateral
Quadrilateral EFGH is inscribed in a circle. For positive real numbers, a, b, c, and d, let EF = √a, FG = √b, GH = √c, and HE = √d. If a + d = b + c, find the area of the circle.

- Apr 1st 2011, 04:21 PMWilmer
Perhaps you at least can get started by studying this:

Cyclic Quadrilateral -- from Wolfram MathWorld - Apr 3rd 2011, 04:56 PMchris520
So because there are no actual number values I should only get my area in terms of a, b, c, and d?

- Apr 4th 2011, 03:50 PMbjhopper
Hi chris520,

If FH is a diameter then circle area is (a+d) * pi/4