[°F] = [°C] × 9⁄5 + 32
[°C] = ([°F] − 32) × 5⁄9
Temperature + uncertainty in Celsius =
35.6 +- 0.11
I calculated the uncertainty as 0.11 for Celsius, because the Farenheit uncertainty of 0.2 degrees means that the temperature falls between 96.3° and 95.9°. These points of extrema in Celsius are 35.72° and 35.5°. The difference between these two numbers is 0.22, thus the midpoint is (35.7 +(0.22/2)) or (35.5 - (0.22/2)), which both produce the midpoint of 35.6° and uncertainty of (0.22/2) = +-0.11