Circumcircle of a Triangle in a Cube

Topic:Cube

Randomly choose a lattice point (not an edge point) on each of three adjacent faces on a cube. There is a unique circle through those three points. What is the area of the typical circle constructed in this way?

New Resources

Linear Equation Graphs: Thin Slice
挂谷问题——三尖瓣形
Perpendicular Lines: Quick Exploration
Right Triangle Inscribed in a Semicircle
繪畫垂直線

Discover Resources

Sadler SMU1&2 Ex7AQ2
Worksheet second time
Colton_Johnson_Qtr1projectB3
trig ratio
KCDP_3ro_B_BTI_50_1_b

Discover Topics

Arithmetic
Special Points
Linear Equations
Kite
Triangles