22088_TheCircumferenceoftheCircle

2022-5-16 18:21| 发布者: Hocassian| 查看: 23| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-4-89506100399499-Problem List-采集的数据-后羿采集器.html

Pro.ID

22088

Title

The Circumference of the Circle

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=22088

AC

17

Submit

23

Ratio

73.91%

时间&空间限制

  • Time Limit: 600/300 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others)
  • 描述

    To calculate the circumference of a circle seems to be an easy task - provided you know its diameter. But what if you don't?
    You are given the cartesian coordinates of three non-collinear points in the plane.
    Your job is to calculate the circumference of the unique circle that intersects all three points.

    输入

    The input will contain one or more test cases. Each test case consists of one line containing six real numbers  x1 , y1 ,  x2 , y2 , x3 , y3 , representing the coordinates of the three points. The diameter of the circle determined by the three points will never exceed a million. Input is terminated by end of file.

    输出

    Description

    To calculate the circumference of a circle seems to be an easy task - provided you know its diameter. But what if you don't?
    You are given the cartesian coordinates of three non-collinear points in the plane.
    Your job is to calculate the circumference of the unique circle that intersects all three points.

    Input
    The input will contain one or more test cases. Each test case consists of one line containing six real numbers  x1 , y1 ,  x2 , y2 , x3 , y3 , representing the coordinates of the three points. The diameter of the circle determined by the three points will never exceed a million. Input is terminated by end of file.
    Output
    For each test case, print one line containing one real number telling the circumference of the circle determined by the three points. The circumference is to be printed accurately rounded to two decimals. The value of pi is approximately 3.141592653589793.
    Sample Input
    0.0 -0.5 0.5 0.0 0.0 0.5
    0.0 0.0 0.0 1.0 1.0 1.0
    5.0 5.0 5.0 7.0 4.0 6.0
    0.0 0.0 -1.0 7.0 7.0 7.0
    50.0 50.0 50.0 70.0 40.0 60.0
    0.0 0.0 10.0 0.0 20.0 1.0
    0.0 -500000.0 500000.0 0.0 0.0 500000.0
    Sample Output
    3.14
    4.44
    6.28
    31.42
    62.83
    632.24
    3141592.65
    Source

    样例输入

    0.0 -0.5 0.5 0.0 0.0 0.5
    0.0 0.0 0.0 1.0 1.0 1.0
    5.0 5.0 5.0 7.0 4.0 6.0
    0.0 0.0 -1.0 7.0 7.0 7.0
    50.0 50.0 50.0 70.0 40.0 60.0
    0.0 0.0 10.0 0.0 20.0 1.0
    0.0 -500000.0 500000.0 0.0 0.0 500000.0

    样例输出

    3.14
    4.44
    6.28
    31.42
    62.83
    632.24
    3141592.65

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