Methods and apparatus for implementing a camera having a depth which is less than the maximum length of the outer lens of at least one optical chain of the camera are described. In some embodiments a light redirection device, e.g., a mirror, is used to allow a relatively long optical chain with a relatively large non-circular outer lens. In some embodiments the light redirection device has a depth, e.g., front of camera to back of camera dimension, which is less than the maximum length of the aperture of the outer lens in the aperture's direction of maximum extent. Multiple optical chains with non-circular outer lenses arranged in different directions may and in some embodiments are used to capture images with the captured images being combined to generate a composite image.