DURING INST TRAINING FLT; PROHIBITED AREA P40 WAS PENETRATED DUE TO FOLLOWING AN INTXN VOR RADIAL NOT INTENDED FOR INST FLT PLAN ROUTING.

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AFTER COMPLETING AIRWORK TO THE E OF FDK ARPT; THE STUDENT AND I PROCEEDED TO FDK VOR. OUR PLAN WAS TO GO FROM THE FDK VOR TO HAGERSTOWN ARPT TO PRACTICE APCHS. BOTH THE GOV AND COMMERCIAL CHART APCH PLATES SHOW THE FDK 340 DEG RADIAL PASSING OUTSIDE PROHIBITED AIRSPACE P40 AND INTERSECTING THE HGR LOC AT NOLIN INTXN. THE STUDENT AND I TRACKED THE FDK 340 DEG RADIAL TO NOLIN AND UPON CONTACTING HAGERSTOWN TWR; WAS ADVISED BY THEM THAT ZDC REQUESTED WE CALL THEM FOR VIOLATING P40. NEEDLESS TO SAY; WE WERE QUITE SURPRISED SINCE THE STUDENT KEPT THE COURSE DEV INDICATOR CTRED AND BASED UPON THE APCH PLATES WHICH WE WERE USING TO NAV FROM FDK VOR THE HGR LOC; WE SHOULD HAVE REMAINED CLR OF P40. A CHK OF THE LAST VOR ACCURACY CHK SHOWED THAT THERE WAS ZERO ERROR ON THE VOR AIRBORNE EQUIP. WHEN WE LATER CALLED ZDC; THEY MENTIONED VIOLATIONS OF P40 ARE A COMMON OCCURRENCE. PERHAPS ONE REASON IS THE MISLEADING APCH PLATES. RECOMMEND FAA REVIEW THE GOV AND COMMERCIAL CHART APCH PLATES AND ENCOURAGE GOV AND COMMERCIAL CHART COMPANY TO CHANGE THEIR FORMAT TO MORE ACCURATELY REFLECT THE TRUE SIT; IE; THAT THE PDK 340 DEG RADIAL WILL TAKE YOU THROUGH P40.