An ankle monitor-wearing convicted rapist allegedly savagely beat a mom unconscious on Randall’s Island — leaving her clinging to life — and then bizarrely called 911 to report the attack himself, police and sources said.

Miguel Jiraud, 30, was arrested Friday on an attempted murder charge after cops used his tracking bracelet to link him to a vicious assault on 44-year-old Diana Agudelo, who remained in serious condition, sources and the victim’s family said.

Jiraud, who was out on parole for a rape conviction, allegedly ambushed Agudelo and bludgeoned her as she pedaled her e-bike down an isolated bike path near 600 E. 125th St. on Randall’s Island late May 16, cops and sources said.

The brutal beating left Agudelo in need of two life-saving emergency surgeries, including one in which doctors removed a portion of her brain that was detached, her daughter Stephanie Rodas, 21, told The Post through sobs.

“She almost died … they had to resuscitate her,” Rodas said Friday. “She’s still in critical condition right now – even though she came through the second one, thank God she did.

“They were almost about to do another surgery on her, a third, but it could’ve been deadly at this point … If worst comes to worst, they have to put her on medication that stops her brain activity which could potentially have…,” Rodas continued, before stopping and breaking into sobs.

The attack prompted a week-long NYPD investigation that eventually zeroed in on Jiraud – the 911 caller who initially directed authorities to the bloodied, unresponsive Agudelo roughly six hours after the senseless attack, sources said.

Jiraud’s ankle monitor – which he has been wearing since being paroled in August – showed him moving at 16 mph near the scene, potentially while riding Agudelo’s stolen e-bike that police later found dumped in the East River, the sources said.

The monitor then showed Jiraud go back to Agudelo, where he called 911, according to the sources.

Jiraud, a violent sex offender who had been living at a Randall’s Island homeless shelter, professed his innocence as cops hauled him from the 25th Precinct in East Harlem after his arrest.

“I found her,” he said several times. “The evidence is going to speak for itself.”

When a reporter asked Jiraud if he beat Agudelo, the felon brought his cuffed hands around his back to show the cameras.

“My hands are perfect,” he said.

“I was the one that found her and stood there for an hour and went to work late.”

Agudelo suffered facial fractures — including a cracked skull and a broken nose — in what NYPD Chief of Detectives Joseph Kenny called “one of the worst beatings I’ve ever seen.”

Her daughter, Rodas, grew angry that the prime suspect hasn’t even been out on parole for a year.

“What’s the point of parole if it’s not protecting anyone,” Rodas said. “It’s more like giving them freedom for what? To do what they did to my mom…

“He went from raping someone to attempted murder,” she said, “and God knows if he’s going to be successful and leave me without a mom.”

Rodas called Agudelo her best friend, describing the lover of music and travel as the “kindest and sweetest soul you’ve ever met.” She couldn’t imagine her mother fighting back against the attacker – which

Agudelo often worked overnight to put her son and Rodas – who just finished finals at John Jay College a few days ago – was heading home from her job at the Museum of the City of New York on Fifth Avenue when she was attacked, her daughter said.

She’ll have a long road to recovery – and will never be the same person, Rodas said.

Agudelo, who was walking home from her job at the Museum of the City of New York on Fifth Avenue when she was attacked, will have a long road to recovery – and will never be the same person, Rodas said.

Doctors said Agudelo likely won’t be able to use the right side of her body, could lose vision in her right eye and require 24/7 assistance because of potential life-long seizure problems, Rodas said.

“I just woke up in a living hell and it’s just like I don’t know what to think,” she said. “My life just seems like a lie. I just want to wake up from this bad nightmare, just wake up next to my mom. I just want to give my mom a big hug, but I can’t even hold her, I can’t even touch her.”

Jiraud was convicted of a February 2011 rape in which he dragged a 28-year-old woman from an elevator in a Bronx up to a roof, where he choked her before sexually assaulting her.

After the vicious attack, the then-16-year-old Jiraud spat on her and said, “I will kill you, I will shoot you.”

He was sentenced to 12 years in prison in 2013, jail records show.

Jiraud was released in August on parole, which expires in 2040, the sources said.

– Additional reporting by Desheania Andrews, Larry Celona and Patrick Reilly