The perpendicular bisector of a chord

- contains the circle's center
- divides the chord into two congruent segments (bisects the chord)
- is perpendicular to the chord

**Practice** Problems

Since the blue line is the perpendicular bisector of DU, DU = 5+5=10

Step 1

Answer

6^{2}+5^{2}=r^{2}

r =7.8