# Geometry Problem 1495: Circle, Parallel Chords, 30 Degree Angle, Radius Squared

The figure below shows a circle with radius r. Chords AB, CD, and EF are
parallel, and chords AD and CF are also parallel. You are required to
prove that \({AB^2+CD^2+EF^2} = {6\cdot r^2}\).

View solution

## Typography and Sketch of Problem 1495: Machu Picchu in the background

### Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.