Angle

This version of the Angle class includes an attribute to identify the type of the angle as either acute, right, obtuse, straight, reflex, full rotation, or undefined.

Problem Statement

Write the code for the Angle class. The solution must meet the following requirements (new requirements are in bold):

• Should get and set the angle's value (in degrees)
• Should calculate the equivalent angle in Radians and Grads, using the following formulas:
  • Radians = Degrees * (π / 180)
  • Grads = Radians * (200 / π)
• Should override the toString() method to return the angle in degrees, in the following format:
  • degrees°
  • The Unicode character for the degrees symbol (°) is '\u00B0'
• Should get the type of angle, based on the following table

Angle Range	Angle Type
< = 0 or > 360	Undefined
> 0 and < 90	Acute
= 90	Right
> 90 and < 180	Obtuse
= 180	Straight
> 180 and < 360	Reflex
= 360	Full Rotation

Use the following class diagram when creating your solution.

  public string AngleType
  {
      get
      {
          string angleType;
          if (Degrees <= 0)
              angleType = "undefined";
          else if (Degrees < 90)
              angleType = "acute";
          else if (Degrees == 90)
              angleType = "right";
          else if (Degrees < 180)
              angleType = "obtuse";
          else if (Degrees == 180)
              angleType = "straight";
          else if (Degrees < 360)
              angleType = "reflex";
          else if (Degrees == 360)
              angleType = "full rotation";
          else
              angleType = "undefined";
          return angleType;
      }
  }