# Chord Distance

**Geometry**Level 4

A circle has diameter \( AD \) of length \(400\). \(B\) and \(C\) are points on the same arc of \(AD\) such that \(|AB|=|BC|=60\). What is the length \(|CD|\)?

**Details and assumptions**:

Lengths given are always straight line distances, not arc lengths. We use \( | \cdot | \) in this problem to make the distinction clearer.