Unit circle animation in manim.

unit_circle.py

from manim import *

class UnitCircle(MovingCameraScene):
    def construct(self):

        title = Title("The Unit Circle", include_underline=False)
        circle = Circle()
        numberplane = NumberPlane()
        line = Line(ORIGIN, np.array([1.0, 0, 0]))
        dot = Dot().move_to(np.array([1.0, 0, 0]))
        

        label_1 = Text('(1, 0)').scale(0.5).next_to(circle, RIGHT)
        label_2 = Text('(0, 1)').scale(0.5).next_to(circle, UP)
        label_3 = Text('(-1, 0)').scale(0.5).next_to(circle, LEFT)
        label_4 = Text('(0, -1)').scale(0.5).next_to(circle, DOWN)

        labels = VGroup(label_1, label_2, label_3, label_4)
        
        line_dot = VGroup(line, dot)

        self.add(numberplane)
        self.play(Create(title))
        self.play(Create(circle))
        self.play(Write(labels))
        self.play(Create(line_dot))

        self.play(self.camera.frame.animate.scale(0.5))
        self.play(Rotate(line_dot, angle=2*PI, about_point=ORIGIN, run_time=1.5, rate_func=linear))
        self.wait()

This is very much like Canvas just more precise