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)