this is the questions

Answer each and every questions in just one code (one .cpp file).

Submit 2 files:

1) .cpp

2) .pdf

Project 2

Let consider the intervals I1 = [-π, π], I2 = [5, 99], and I3 = ]-50, -4[.

( [, ] for inclusive and ], [ for excusive)

Write a C++ script to perform the following:

1) Define PI (π) as a constant and set it value rounded to 4 decimal places.

2) Ask the user to enter a real number

3) Save the user response as a variable a of type float

4) If a belongs to the interval I1 = [-π, π] , display on the console “a is between – PI and PI” and “a is not between –PI and PI” otherwise.

5) If a belongs to the interval I2 = [5, 99] , display on the console “a is between 5 and 99” and “a is not between 5 and 99” otherwise.

6) Ask the user to enter a the value of an angle in degrees, you save the entry as angleInDegrees. Compute its value in radians into the variable angleInRadians; print out: The angle you enter in degree is equivalent to angleInRadians radians.

7) Ask the user to enter the coordinates of two points A = (x1, y1) and B = (x2, y2)

8) Save the variables x1, y1, x2, and y2 as type float

9) Display on the console the coordinates of the mid-point M = ((x1 + x2)/2, (y1 + y2)/2) between A and B

10) Display on the console the distance between A and B using the relation:

distance = sqrt((x2 – x1)2 + (y2 – y1)2)