Ring-like rashes on the nose, forehead, and arms are more likely to be caused by a fungal infection than by a simple allergy, especially if they are itchy and spreading. This happens due to sweat and moisture, allowing the fungus to grow on the skin. Keep the area clean and dry, avoid oily products, and do not use random creams as they can worsen it. A doctor may advise proper antifungal treatment, so consult your doctor to get the right care and clear it completely.