The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.
:
D = 120 feet
:
Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.
The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92
:
********************************************************
1) The combined distance around both circle and triangle totals 661.06 feet.
********************************************************
:
**************************************************************
2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.
The distance from the center to any vertex of the triangular area represents the radius of the
circular pool.
**************************************************************
:
*****************************************************************
3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.
*****************************************************************
:
***********************************************************
4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =
(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.
***********************************************************
:
*****************************************
5) 8196.685 * x < 30000
x < 3.66 feet
The average depth needs to be below 3.66 feet
*****************************************
