The Rim Trail

Difficulty: Varies (Easy to Moderate)
Total Distance: 5.5 miles (8.9 km)
Ascent/Descent (South to North): 1,330 feet (405 m) / 1,825 feet (556 m)
Average time: 3-4 hours

The 5.5 mile (8.9 km) Rim Trail begins in the south at Bryce Point and ends in the north at Fairyland Point. The trail connects all viewpoints in the Bryce Amphitheater area and can be accessed at each of them.
Note that the section between here and Inspiration Point is closed in winter.

Recommended

The section between Sunrise and Sunset Points is 0.5 miles (0.8 km), paved and has only minor elevation changes; this portion is wheelchair accessible except in severe weather.
This section between Sunrise and Sunset Points is also the only section of the Rim Trail pets are allowed on; all pets must be on leash and owners must pick up after them. 
During shuttle season, hikers may use stops here, at Inspiration, Sunset, and Sunrise to complete one-way hikes. Fairyland Point has no shuttle service. The section from Bryce to Inspiration is closed in winter.

Distances and Elevation Change

Bryce Point to Inspiration Point: 1.5 miles (2.4 km) +556 feet / -702 feet
Inspiration Point to Sunset Point: 0.7 miles (1.1 km) +104 feet / -242 feet
Sunset Point to Sunrise Point: 0.5 miles (0.8 km) +82 feet / -65 feet
Sunrise Point to Fairyland Point: 2.8 miles (4.5 km) +182 feet / -399 feet