Geometry
========

Save all functions into the same file named :file:`geometry.py`. All functions must return type ``float`` values.


#. Write the function :py:func:`area_perim_circle` that given the radius of a
   circle returns the perimeter and the area.

   Examples:
   
   .. literalinclude:: area_perim_circle.txt
      :language: python3
      :lines: 3-13

   .. note::

      You can download the file with tests :download:`area_perim_circle.txt`.

#. Write the function :py:func:`area_volum_sphere` that given the radius of a
   sphere returns the area and the volume.

   Examples:
   
   .. literalinclude:: area_volum_sphere.txt
      :language: python3
      :lines: 3-13

   .. note::

      You can download the file with tests :download:`area_volum_sphere.txt`.

   
   
#. Write the function :py:func:`perim_area_rectangle` that given the lenght
   of the base and the height of a rectangle returns the perimeter and
   the area.

   Examples:
   
   .. literalinclude:: perim_area_rectangle.txt
      :language: python3
      :lines: 3-13

   .. note::

      You can download the file with tests :download:`perim_area_rectangle.txt`.
   
#. Write a function that given the lenght of two legs of a right-angled
   triangle returns the lenght of the hypotenuse.

   
#. Write a function that given the lenght of the hypotenuse of a
   right-angled triangle and one of the not right angles in radians,
   returns the lenght of the two legs.


#. Write a function that given the lenght of the
   hypotenuse of a right-angled triangle and the value in degrees of one 
   of the not right angles, returns the lenght of the two
   legs.

.. rubric:: Solution

A solution of these functions is provided in the
:download:`geometry.py<solutions/geometry.py>` file.