Translationally diffusive behavior arising from the combination of orientational diffusion and powered motion at microscopic scales is a known phenomenon, but the peculiarities of the evolution of expected position conditioned on initial position and orientation have been neglected. A theory is given of the spiral motion of the mean trajectory depending upon propulsion speed, angular velocity, orientational diffusion and rate of random chirality reversal. We demonstrate the experimental accessibility of this effect using both tadpole-like and Janus sphere dimer rotating motors. Sensitivity of the mean trajectory to the kinematic parameters suggest that it may be a useful way to determine those parameters.Active colloids such as microswimmers and nanomotors are a class of non-equilibrium systems which has been the subject of intense research in recent years [1][2][3]. At the sub-micron length scale, stochastic effects significantly perturb a self-propeller's deterministic motion, and the coupling of such noise to a steady motion can lead to unexpected emergent phenomena such as motilityinduced phase separation [4], chiral diffusion [5], and phenomena with biological relevance [6] which can now be modelled by artificial active colloids. In the absence of noise a circle swimmer, confined to a plane with a strong rotational component to its powered motion, travels on a fixed circle with a steady clockwise or counterclockwise chirality [7]. Artificial swimmers of this sort have been fabricated in a variety of forms such as tadpoles [8,9], Janus sphere dimers [10,11], nanorods [12,13], and acoustically-activated swimmers [14]. Stochastic perturbations in the form of unbiased orientational diffusion or random chirality-reversal resulting from flipping about the direction of motion have significant effects on the long term motion: an effective translational diffusion is generated [15][16][17], the infinite-time limit of the mean position conditioned on the initial position and velocity is non-zero and chirality-dependent [5], and the mean approach to the limit is a logarithmic spiral [17,18].In this Letter, we experimentally and theoretically demonstrate "spiral diffusion" as a general finite-time behavior of the conditional mean position in circle swimmers. First, we expose the phenomenon in experimental data for both tadpole-like [9] and Janus-sphere dimer [10] rotary microswimmers (see Fig. 1), and present fits to the model. Then, we explain the theory for spiral diffusion of circle swimmers subjected to both orientational diffusion and flipping (change of chirality). The expected position of the swimmer, conditioned on its initial position, velocity direction and chirality, evolves along a converging spiral. The theory serves as a sensitive and accurate utility for determining kinematic parameters such as angular velocity and orientational diffusivity. Supplementary Material contains the details of fabrication and experimental protocols, as well as movies of simulated ensembles of swimmers for a variety of noise par...