After the coldest New Year’s Day in recorded history, the Chicago area remained in a deep freeze Tuesday with frigid temperatures, sub-zero wind chills and a chance for snowfall in the forecast.

Sunny conditions and a high temperature of 11 degrees are expected during the day in the Chicago area, according to the National Weather Service. Wind chills could to dip as low as -29 degrees.

The extreme cold is expected to stick around until Sunday, when high temperatures in the Chicago area are expected to reach 32 degrees, the Weather Service said.

Meteorologists warned exposed skin could get frostbite in as little as 30 minutes, and hypothermia can occur without a hat and gloves, the Weather Service said.

Tuesday’s forecast also calls for a 40 percent chance of snow in the evening, the Weather Service said.

On Monday, the city reached a high of 1 degree, marking a new record for the coldest high temperature on the first day of the year, the Weather Service said. The previous record was 5 degrees in 1969.

The average temperature of -4 degrees was also the coldest average for Jan. 1 in Chicago, lower than the -2.5 degree mark set in 1969, the Weather Service said. The low temperature Monday was -9 degrees.