diff --git a/source/core/binaryangle.h b/source/core/binaryangle.h
index 373f5a02e..bec19e891 100644
--- a/source/core/binaryangle.h
+++ b/source/core/binaryangle.h
@@ -60,6 +60,7 @@ enum
 
 constexpr double BAngRadian = pi::pi() * (1. / 1024.);
 constexpr double BRadAngScale = 1. / BAngRadian;
+constexpr double BAngToDegree = 360. / 2048.;
 
 
 //---------------------------------------------------------------------------
diff --git a/source/core/gameinput.cpp b/source/core/gameinput.cpp
index a84df7574..a36edaa7a 100644
--- a/source/core/gameinput.cpp
+++ b/source/core/gameinput.cpp
@@ -154,8 +154,7 @@ void processMovement(InputPacket* currInput, InputPacket* inputBuffer, ControlIn
 	int const keymove = gi->playerKeyMove() << running;
 	int const cntrlvelscale = g_gameType & GAMEFLAG_PSEXHUMED ? 8 : 1;
 	float const mousevelscale = keymove / 160.f;
-	double const angtodegscale = 360. / 2048.;
-	double const hidspeed = ((running ? 1585. : 867.5) / GameTicRate) * angtodegscale;
+	double const hidspeed = ((running ? 1585. : 867.5) / GameTicRate) * BAngToDegree;
 
 	// process mouse and initial controller input.
 	if (buttonMap.ButtonDown(gamefunc_Strafe) && allowstrafe)
@@ -199,7 +198,7 @@ void processMovement(InputPacket* currInput, InputPacket* inputBuffer, ControlIn
 		// allow Exhumed to use its legacy values given the drastic difference from the other games.
 		if ((g_gameType & GAMEFLAG_PSEXHUMED) && cl_exhumedoldturn)
 		{
-			preambleturn = turnamount = (running ? 12 : 8) * angtodegscale;
+			preambleturn = turnamount = (running ? 12 : 8) * BAngToDegree;
 		}
 
 		if (buttonMap.ButtonDown(gamefunc_Turn_Left) || (buttonMap.ButtonDown(gamefunc_Strafe_Left) && !allowstrafe))
diff --git a/source/games/blood/src/qav.cpp b/source/games/blood/src/qav.cpp
index 9fd8d3566..607a73d40 100644
--- a/source/games/blood/src/qav.cpp
+++ b/source/games/blood/src/qav.cpp
@@ -46,7 +46,7 @@ void DrawFrame(double x, double y, TILE_FRAME *pTile, int stat, int shade, int p
     {
 		auto tex = tileGetTexture(pTile->picnum);
 		double scale = pTile->z/65536.;
-		double angle = pTile->angle * (360./2048);
+		double angle = pTile->angle * BAngToDegree;
 		int renderstyle = (stat & RS_NOMASK)? STYLE_Normal : STYLE_Translucent;
 		double alpha = (stat & RS_TRANS1)? glblend[0].def[!!(stat & RS_TRANS2)].alpha : 1.;
 		int pin = (stat & kQavOrientationLeft)? -1 : (stat & RS_ALIGN_R)? 1:0;
diff --git a/source/games/blood/src/view.cpp b/source/games/blood/src/view.cpp
index 2048fc333..6575d1298 100644
--- a/source/games/blood/src/view.cpp
+++ b/source/games/blood/src/view.cpp
@@ -882,7 +882,7 @@ FString GameInterface::GetCoordString()
     FString out;
 
     out.Format("pos= %d, %d, %d - angle = %2.3f",
-        gMe->pSprite->x, gMe->pSprite->y, gMe->pSprite->z, gMe->pSprite->ang * (360./2048));
+        gMe->pSprite->x, gMe->pSprite->y, gMe->pSprite->z, gMe->pSprite->ang * BAngToDegree);
 
     return out;
 }
diff --git a/source/games/duke/src/game_misc.cpp b/source/games/duke/src/game_misc.cpp
index c806bad00..f5ea986d9 100644
--- a/source/games/duke/src/game_misc.cpp
+++ b/source/games/duke/src/game_misc.cpp
@@ -577,7 +577,7 @@ bool GameInterface::DrawAutomapPlayer(int cposx, int cposy, int czoom, int cang,
 			else if (j > (65536 << 1)) j = (65536 << 1);
 
 			DrawTexture(twod, tileGetTexture(i), xdim / 2. + spos.x / 4096., ydim / 2. + spos.y / 4096., DTA_TranslationIndex, TRANSLATION(Translation_Remap + setpal(&pp), pspr->pal), DTA_CenterOffset, true,
-				DTA_Rotate, daang * (-360./2048), DTA_Color, shadeToLight(pspr->shade), DTA_ScaleX, j / 65536., DTA_ScaleY, j / 65536., TAG_DONE);
+				DTA_Rotate, daang * -BAngToDegree, DTA_Color, shadeToLight(pspr->shade), DTA_ScaleX, j / 65536., DTA_ScaleY, j / 65536., TAG_DONE);
 		}
 	}
 	return true;
diff --git a/source/games/duke/src/input.cpp b/source/games/duke/src/input.cpp
index 4bf022212..d8cbaa751 100644
--- a/source/games/duke/src/input.cpp
+++ b/source/games/duke/src/input.cpp
@@ -755,7 +755,7 @@ static void processVehicleInput(player_struct *p, ControlInfo* const hidInput, I
 	}
 
 	input.fvel = xs_CRoundToInt(p->MotoSpeed);
-	input.avel *= (45. / 256.);
+	input.avel *= BAngToDegree;
 	loc.avel += input.avel;
 }
 
diff --git a/source/games/duke/src/sbar_r.cpp b/source/games/duke/src/sbar_r.cpp
index ee23a90a4..c6035b13a 100644
--- a/source/games/duke/src/sbar_r.cpp
+++ b/source/games/duke/src/sbar_r.cpp
@@ -413,8 +413,8 @@ public:
 			p->drunkang = 400;
 		}
 		
-		DrawRotated(tileGetTexture(GUTMETER), 256, top + 15, DI_ITEM_RELCENTER, p->drunkang * (-360. / 2048), 1, scale, scale, 0xffffffff, 0);
-		DrawRotated(tileGetTexture(GUTMETER), 292, top + 15, DI_ITEM_RELCENTER, p->eatang * (-360. / 2048), 1, scale, scale, 0xffffffff, 0);
+		DrawRotated(tileGetTexture(GUTMETER), 256, top + 15, DI_ITEM_RELCENTER, p->drunkang * -BAngToDegree, 1, scale, scale, 0xffffffff, 0);
+		DrawRotated(tileGetTexture(GUTMETER), 292, top + 15, DI_ITEM_RELCENTER, p->eatang * -BAngToDegree, 1, scale, scale, 0xffffffff, 0);
 
 		if (p->drink_amt >= 0 && p->drink_amt <= 30)
 		{
diff --git a/source/games/exhumed/src/movie.cpp b/source/games/exhumed/src/movie.cpp
index bb18ea182..d26b9ce52 100644
--- a/source/games/exhumed/src/movie.cpp
+++ b/source/games/exhumed/src/movie.cpp
@@ -250,7 +250,7 @@ public:
         {
             twod->ClearScreen();
             DrawTexture(twod, decoder.animTex().GetFrame(), 160, 100, DTA_FullscreenScale, FSMode_Fit320x200,
-                DTA_CenterOffset, true, DTA_FlipY, true, DTA_ScaleX, z / 65536., DTA_ScaleY, z / 65536., DTA_Rotate, (-angle - 512) * (360. / 2048.), TAG_DONE);
+                DTA_CenterOffset, true, DTA_FlipY, true, DTA_ScaleX, z / 65536., DTA_ScaleY, z / 65536., DTA_Rotate, (-angle - 512) * BAngToDegree, TAG_DONE);
         }
         
         lastclock = clock;
diff --git a/source/games/sw/src/draw.cpp b/source/games/sw/src/draw.cpp
index 0110fb5e5..6763fd752 100644
--- a/source/games/sw/src/draw.cpp
+++ b/source/games/sw/src/draw.cpp
@@ -1825,7 +1825,7 @@ bool GameInterface::DrawAutomapPlayer(int cposx, int cposy, int czoom, int cang,
                             double sc = MulScale(czoom * (spr->yrepeat), yxaspect, 16) / 32768.;
                             if (spnum >= 0)
                             {
-                                DrawTexture(twod, tileGetTexture(1196 + pspr_ndx[myconnectindex], true), xd, yd, DTA_ScaleX, sc, DTA_ScaleY, sc, DTA_Rotate, daang * (-360. / 2048),
+                                DrawTexture(twod, tileGetTexture(1196 + pspr_ndx[myconnectindex], true), xd, yd, DTA_ScaleX, sc, DTA_ScaleY, sc, DTA_Rotate, daang * -BAngToDegree,
                                     DTA_CenterOffsetRel, true, DTA_TranslationIndex, TRANSLATION(Translation_Remap, spr->pal), DTA_Color, shadeToLight(spr->shade),
                                     DTA_Alpha, (spr->cstat & 2) ? 0.33 : 1., TAG_DONE);
                             }
diff --git a/source/glbackend/glbackend.cpp b/source/glbackend/glbackend.cpp
index 8cc3d006d..b1abfbfce 100644
--- a/source/glbackend/glbackend.cpp
+++ b/source/glbackend/glbackend.cpp
@@ -557,7 +557,7 @@ void hud_drawsprite(double sx, double sy, int z, double a, int picnum, int dasha
 		DTA_FlipX, !!(dastat & RS_XFLIPHUD),
 		DTA_FlipY, !!(dastat & RS_YFLIPHUD),
 		DTA_Pin, (dastat & RS_ALIGN_R) ? 1 : (dastat & RS_ALIGN_L) ? -1 : 0,
-		DTA_Rotate, a * (-360./2048),
+		DTA_Rotate, a * -BAngToDegree,
 		DTA_FlipOffsets, !(dastat & (/*RS_TOPLEFT |*/ RS_CENTER)),
 		DTA_Alpha, alpha,
 		TAG_DONE);