This is the wrong area of the forums for this question (try Pentax DSLR Discussion, or Pentax SLR Lens Discussion). But the answer is yes, it's an APS-C sized sensor.
However, note that Sigma hasn't (yet -- they might someday) reverse-engineered Pentax's interface for in-lens motors, so HSM isn't available on this lens in Pentax K mount. (In fact, looks like the HSM version is currently only offered for Nikon, which I think they license instead of reverse-engineering, which means a Pentax version is highly unlikely.) So you'll need to look at the non-HSM version.
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