'Chaotic': man charged with city-centre carjacking

A man has been charged after an alleged carjacking and dangerous driving spree that brought chaos to the streets of a capital city.

A woman was injured and emergency services were called to the intersection of King and Pitt Streets in Sydney's CBD about 9pm on Thursday following reports of a carjacking.

Police were told a 36-year-old man stole a Mazda sedan from its driver, a 26-year-old woman, before driving off along George St.

The Mazda collided with a rideshare vehicle at the intersection of Market Street, and then crashed into a nearby police car.

A male driver, 27, and female passenger, 24, were inside the rideshare vehicle.

The Mazda then struck a bollard, which dislodged and struck a 58-year-old female pedestrian.

The woman, who had been shopping nearby, was treated by paramedics for a cut to her head before being taken to hospital in a stable condition.

Officers from inside the police car which had earlier been struck then arrested the 36-year-old man at the scene.

Footage from the scene showed the alleged offender dressed in his underwear and apparently covered with blood.

NSW Police Acting Superintendent Adam Solah said it was fortunate no one else had been injured.

"A number of bystanders came in to offer medical assistance to everyone who was involved, and they did a really good job in doing that."

Act Supt Solah also praised the efforts of police who rushed to make the arrest despite their vehicle being struck moments earlier.

"They were able to get out of the vehicle straight away and arrest that male person," he said.

"They did an excellent job of that ... it would have been quite a shock for them to see what had occurred. "