python - 如何在 Python Turtle 中绘制三角形的外接圆？

Question

拜托，你能帮我解决这个问题吗？我可以画一个三角形，还可以计算圆的中心（我不知道它是否有帮助），我已经计算了半径。但我不知道如何自己画一个圆。我拥有它的方式并没有连接所有顶点。谢谢你的任何想法。

import turtle
import math
from math import pi
alfa=60 # in degrees
beta=40
gama=80
c = 100
sin_alfa = math.sin(pi/180*alfa)  # in radians
sin_beta = math.sin(pi/180*beta)
sin_gama = math.sin(pi/180*gama)
a = c/sin_gama *sin_alfa # a,b calculated
b = c/sin_gama *sin_beta
board = turtle.Turtle()
board.forward(100) # base c 
board.left(180-beta)
board.forward(a)
board.left(180-gama)
board.forward(b)
board.left(180-alfa)
rad = rad = a/2*sin_alfa # radius of a circumcircle
board.circle(rad)

Answer 1

你想在三角形中间画圆吗？如果是这样，那么您所要做的就是

# code for everything and triangle
board.up()
board.forward(50)
board.down()
# Rest of code

请详细说明

Answer 2

修改后的代码将绘制一个触及所有角的圆。

import turtle
import math
from math import pi
alfa=60 # in degrees
beta=40
gama=80
c = 100
sin_alfa = math.sin(pi/180*alfa)  # in radians
sin_beta = math.sin(pi/180*beta)
sin_gama = math.sin(pi/180*gama)
a = c/sin_gama *sin_alfa # a,b calculated
b = c/sin_gama *sin_beta
board = turtle.Turtle()
board.forward(100) # base c 
board.left(180-beta)
board.forward(a)
board.left(180-gama)
board.forward(b)
board.left(180-alfa)
rad = a/(2*sin_alfa)   # radius of a circumcircle


# shift pen to bottom-most point of the circle
board.up()
board.forward(c/2)
board.right(90)
board.forward(rad*(1-(1-sin_gama**2)**0.5))
board.down()
board.left(90)

# the circle
board.circle(rad)

turtle.done()

以下是光标如何移动的图形说明：