From e726ebda31272d8c63ba2d13910d3159770ad0f5 Mon Sep 17 00:00:00 2001
From: abhitrueprogrammer
 <67090539+abhitrueprogrammer@users.noreply.github.com>
Date: Wed, 23 Mar 2022 14:05:45 +0530
Subject: [PATCH] Updating function arc() to be simpler

Updated arc() to just model a circle but only till the angle required. This approach is simpler than using an obscure formula [n = int(arc_length/3) +1] and doesn't even cause the turtle to be a few pixels away from true destination
---
 code/polygon.py | 18 +++++++-----------
 1 file changed, 7 insertions(+), 11 deletions(-)

diff --git a/code/polygon.py b/code/polygon.py
index 2eb5c97..2603d13 100644
--- a/code/polygon.py
+++ b/code/polygon.py
@@ -56,17 +56,13 @@ def arc(t, r, angle):
     r: radius
     angle: angle subtended by the arc, in degrees
     """
-    arc_length = 2 * math.pi * r * abs(angle) / 360
-    n = int(arc_length / 4) + 3
-    step_length = arc_length / n
-    step_angle = float(angle) / n
-
-    # making a slight left turn before starting reduces
-    # the error caused by the linear approximation of the arc
-    t.lt(step_angle/2)
-    polyline(t, n, step_length, step_angle)
-    t.rt(step_angle/2)
-
+    resolution = 69 
+    total_circumference = 2 * math.pi * r #circumference of a circle with same radius as the arc
+    segment_length = total_circumference/ resolution
+    LT_angle = 360/resolution
+    ratio = angle/360  #ratio that the arc is of a circle with the same radius as the arc
+    resolution = int(resolution * ratio)
+    polyline(t, resolution, segment_length, LT_angle)
 
 def circle(t, r):
     """Draws a circle with the given radius.