Geometry¶

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

Write the function area_perim_circle() that given the radius of a circle returns the perimeter and the area.

Examples:
```
>>> a,p = area_perim_circle(0.3)
>>> round(a,4)
0.2827
>>> round(p,4)
1.885

>>> a,p = area_perim_circle(1.57)
>>> round(a,4)
7.7437
>>> round(p,4)
9.8646
```
Note

You can download the file with tests area_perim_circle.txt.

Write the function area_volum_sphere() that given the radius of a sphere returns the area and the volume.

Examples:

>>> a,v = area_volum_sphere(1)
>>> round(a,4)
12.5664
>>> round(v,4)
4.1888

>>> a,v = area_volum_sphere(1.57)
>>> round(a,4)
30.9748
>>> round(v,4)
16.2102

Note

You can download the file with tests area_volum_sphere.txt.

Write the function perim_area_rectangle() that given the lenght of the base and the height of a rectangle returns the perimeter and the area.

Examples:
```
>>> p,a = perim_area_rectangle(36.34,13.25)
>>> round(p,2)
99.18
>>> round(a,2)
481.51

>>> p,a = perim_area_rectangle(5,3)
>>> round(p,2)
16.0
>>> round(a,2)
15.0
```
Note

You can download the file with tests 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.

Solution

A solution of these functions is provided in the geometry.py file.