From your history & clinical description, it does appear to be some sort of gyrate or annular erythematous lesion & is most likely related to some sort of xerosis or dry skin
condition hence its appearance in the winters'
Dermatology however is a very 'visual' field & as such, this rash
needs to be viewed & it would be great if you could upload a clear digital photograph of the lesion onto this website using the upload data icon.
In the interim, please do use a good quality moisturizer atop wet skin eg Cetaphil
moisturizing lotion & this should help allievate the problem.
For a pucca diagnosis am afraid a skin biopsy
may be required.
Cheers & Good Luck!
Dr Praveen Rodrigues MD