Logo Bold Letter Vibrant Red Color

Create a logo design featuring a bold, stylized letter "R" in a vibrant red color. Incorporate a circular graphic element in the background that suggests movement or continuity, using a lighter shade of red. Remove any references to existing brands and ensure the font is modern and dynamic. Include subtle curved lines around the letter to add a sense of energy and modernity. The overall design should convey a feeling of innovation and creativity while maintaining simplicity and clarity.