STEP 1
Since AB = CD , M is the midpoint of AB , and L is the midpoint of CD
then OM = OL
2x - 3 = x + 5 → x = 8
OM = 2x - 3 → OM = 2(8) - 3 → OM = 16 - 3 → OM = 13
STEP 2
Since AB = 60 and M is the midpoint of AB
then MB = 30
STEP 3
Draw a line from O to B to create triangle OMB. Notice that OM is perpendicular so M is a 90° angle, so the Pythagorean Theorem can be used.
OM² + MB² = OB²
13² + 30² = OB² substituted from steps 1 and 2
169 + 900 = OB²
1069 = OB²
32.7 = OB
Realize that OB is the radius.
Answer: 32.7