From 46c898977a843321ab48e3bce6e441fa4d11fb66 Mon Sep 17 00:00:00 2001
From: Grant Sanderson <grant@3blue1brown.com>
Date: Fri, 7 Feb 2025 10:17:02 -0600
Subject: [PATCH] Have density of anchor points on arcs depend on arc length

---
 manimlib/mobject/geometry.py | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/manimlib/mobject/geometry.py b/manimlib/mobject/geometry.py
index ae54ed7e..7a55ec2d 100644
--- a/manimlib/mobject/geometry.py
+++ b/manimlib/mobject/geometry.py
@@ -208,12 +208,16 @@ class Arc(TipableVMobject):
         start_angle: float = 0,
         angle: float = TAU / 4,
         radius: float = 1.0,
-        n_components: int = 8,
+        n_components: Optional[int] = None,
         arc_center: Vect3 = ORIGIN,
         **kwargs
     ):
         super().__init__(**kwargs)
 
+        if n_components is None:
+            # 16 components for a full circle
+            n_components = int(15 * (abs(angle) / TAU)) + 1
+
         self.set_points(quadratic_bezier_points_for_arc(angle, n_components))
         self.rotate(start_angle, about_point=ORIGIN)
         self.scale(radius, about_point=ORIGIN)