Well these are the specs of the 2 ships (memory alpha).
Miranda (Canon):
Type: Science Vessel/ Supply Ship
Length: 233m
Mass: 665,000 metric tonnes
Weapons: 6 phaser banks (type 7 (all config)), 2 phaser cannons (reliant), 4 Photon Torpedo Launchers.
Defence: Deflector Shields
Crew: 26 (Lantree Config)
Miranda: (DS9 Tech Manual):
Type: Medium Cruiser
Production Base: ASDB Integration Facility, Starbase 134 Integration Facility, Rigel VI
Accommodation: 220 officers and crew; 500 personal evacuation limit
Power Plant: One 1,500 plus Cochrane warp core feeding two nacelles; one impulse system
Dimensions:
Length: 277.76 meters
Beam: 173.98 meters
Height: 65.23 meters
Mass: 655,000 metric tons
Performance: Warp 9.2 for 12 hours
Armament: Six type-7 phaser emitters; two pulse phaser cannons; two photon torpedo launchers
Constitution Refit (Canon):
Type: Heavy Cruiser
Length: 305m
Mass: 1,000,000 metric tonnes
Crew: 300
Weapons: 18 phaser banks, 2 photon torpedo launchers
Defence: Deflector Shields and Defence Fields