AMO 2027 Grades 10-12 SET 2 - Self-study Question 10

In the adjoining figure, segment $DE$ is perpendicular to diameter $BC$ of the circle and intersects $BC$ at $P$. Find the length of the line segment if the radius is 10 and $PB=2$.



**Editorial clarification.** The requested segment is the whole chord DE; P is the point on diameter BC shown inside the circle.

Enter one whole number, without units.