A wide-angle lens corrected for barrel distortion is called a(n)
lens.

Rectilinear lens

Explanation:

In photography, the distortions are caused in the formation of the image due to either the position of the camera or the optical design of the lenses i.e perspective and optical distortion.

The barrel distortion is a type of optical distortion caused due to the optical design of the lens. In barrel distortion, the straight lines of the light bend as a result of which the lines appear curved inwards in images.  

The field of view of wider than the image sensor in barrel distortions which can be corrected by the use of rectilinear lens which provides straight lines without bending them. This lens stretches the image towards the edge and removes distortion.

Thus, Rectilinear lens is the correct answer.