Pierre-Auguste Renoir’s "Child with Hoop" captures the carefree energy of childhood through the motion of a young child playing with a hoop. The loose, expressive brushstrokes create a dynamic sense of movement, as the child’s joyful expression and playful posture emphasize the freedom and excitement of childhood. Renoir’s mastery of light and color adds to the lively atmosphere, making the painting both a celebration of youth and a reflection on the fleeting nature of these moments.