FWC said the 200-pound male bear closely fits the description of the animal involved in the attack on 54-year-old Susan Chalfant.
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Chalfant told officials she was walking her dog near her home in the 2600 block of English Ivy Court in Longwood at about 8 p.m. when the bear attacked her. She was taken to Orlando Regional Medical Center's trauma center.
Her home is in the gated subdivision Wingfield North, which is a popular area for bear sightings in central Florida.
Samples of the bear will be sent for testing.
"Public safety remains a top priority. Because the incident resulted in serious injuries, we decided to put the bear down," said Nick Wiley, FWC executive director.
On Tuesday, a yearling bear was trapped in the same area. That bear was taken to a rehabilitation center in Crystal River because it was determined it was not the bear responsible for the attack.
Chalfant's injuries are described as the worst in state history, so authorities said they don't believe the trapped bear is big enough to be the bear that injured her.
FWC spokeswoman Karen Parker said there were 707 reports of bear sightings in Seminole County in 2012, and there have been 209 so far this year.
By Andrea Dennis, WESH