In a large saucepan combine broth, ginger, and soy sauce. Bring to boiling; reduce heat. Simmer, covered, for 5 minutes.
Add carrots; simmer for 3 minutes. Stir in noodles. (If using whole wheat spaghetti, stir in pasta and cook for 6 minutes before adding carrots.) Bring to boiling; reduce heat. Simmer, uncovered, about 4 minutes or until noodles and carrots are tender. Stir in chicken, bok choy, pea pods, radishes, and sesame oil; heat through. Sprinkle each serving with green onion strips.