1 files changed, 27 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file2_circle_curvature.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file2_circle_curvature.py
new file mode 100644
index 0000000..232ac41
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file2_circle_curvature.py
@@ -0,0 +1,27 @@
+from manimlib.imports import *
+
+class circleC(GraphScene):
+    CONFIG = {
+    "x_min": -6,
+    "x_max": 6,
+    "y_min": -6,
+    "y_max": 6,
+    "graph_origin": ORIGIN,
+    "x_axis_width": 12,
+    "y_axis_height": 12
+    }
+    def construct(self):
+        epiphany = TextMobject(r'Driving a vehicle on which of \\ the two paths would be easier?').scale(0.6).shift(3.5*LEFT + 3*UP)
+        outro = TextMobject(r'The larger path, due to its \\ smaller curvature, since $k = \frac{1}{R}$.').scale(0.6).shift(3.7*LEFT + 3*UP)
+        XTD = self.x_axis_width/(self.x_max- self.x_min)
+        YTD = self.y_axis_height/(self.y_max- self.y_min)
+
+        circle = Circle(radius = 2, color = BLUE)
+        circle2 = Circle(radius = 3, color = GREEN_E)
+
+        self.setup_axes(hideaxes=True)
+        self.play(FadeIn(self.axes), Write(circle, run_time = 2), FadeIn(epiphany))
+        self.play(Write(circle2, run_time = 3))
+        self.play(ReplacementTransform(epiphany, outro))
+        self.wait(2)
+        self.play(FadeOut(VGroup(*[self.axes, circle, circle2, epiphany, outro])))