How can I check if a user tapped near a CGPath?

In iOS 5.0 and later, this can be done more simply using CGPathCreateCopyByStrokingPath:

CGPathRef strokedPath = CGPathCreateCopyByStrokingPath(path, NULL, 15,
    kCGLineCapRound, kCGLineJoinRound, 1);
BOOL pointIsNearPath = CGPathContainsPoint(strokedPath, NULL, point, NO);
CGPathRelease(strokedPath);

if (pointIsNearPath) ...

Well, I figured out an answer. It uses CGPathApply:

clickArea = CGPathCreateMutable();
CGPathApply(path,clickArea,&createClickArea);

void createClickArea (void *info, const CGPathElement *elem) {
  CGPathElementType type = elem->type;
  CGMutablePathRef path = (CGMutablePathRef)info;
  static CGPoint last;
  static CGPoint subpathStart;
  switch (type) {
    case kCGPathElementAddCurveToPoint:
    case kCGPathElementAddQuadCurveToPoint:
      break;
    case kCGPathElmentCloseSubpath:
    case kCGPathElementMoveToPoint: {
      CGPoint p = type == kCGPathElementAddLineToPoint ? elem->points[0] : subpathStart;
      if (CGPointEqualToPoint(p,last)) {
        return;
      }
      CGFloat rad = atan2(p.y - last.y, p.x - last.x);
      CGFloat xOff = CLICK_DIST * cos(rad);
      CGFloat yOff = CLICK_DIST * sin(rad);
      CGPoint a = CGPointMake(last.x - xOff, last.y - yOff);
      CGPoint b = CGPointMake(p.x + xOff, p.y + yOff);
      rad += M_PI_2;
      xOff = CLICK_DIST * cos(rad);
      yOff = CLICK_DIST * sin(rad);
      CGPathMoveToPoint(path, NULL, a.x - xOff, a.y - yOff);
      CGPathAddLineToPoint(path, NULL, a.x + xOff, a.y + yOff);
      CGPathAddLineToPoint(path, NULL, b.x + xOff, b.y + yOff);
      CGPathAddLineToPoint(path, NULL, b.x - xOff, b.y - yOff);
      CGPathCloseSubpath(path);
      last = p;
      break; }
    case kCGPathElementMoveToPoint:
      subpathStart = last = elem->points[0];
      break;
  }
}

Basically it's just my own method for ReplacePathWithStrokedPath, but it only works with lines for right now.