To solve this exercise you will need the definition of *Point*
and *distance()* of problem P46254.

Write a procedure

that moves the point *p1* according to the coordinates indicated by the point *p2*.

For instance, being *p1* the point (2, 1), and *p2* the point (−0.5, 4).
Then *move(p1, p2)* would do that *p1* was (1.5, 5).

Additionally, using the definition

write two procedures,

that scales the circle *c* proportionately to the real strictly positive *sca*, and

that moves the circle *c* according to the coordinates indicated by *p*.

For instance, being *c* a circle of center (1, 2) and radius 3.
Then, *scale(c, 2)* would obtain a circle of center (1, 2) and radius 6.
However, if *p* is (3.5, −1),
*move(c, p)* would obtain a circle of center (4.5, 1) and radius 3.

Write also a function that prints if a point *p* is inside a circle *c*:

Suppose that the radii are always strictly positive,
and that *p* will never be exactly in the border of *c*.

**Observation**
You only need to submit the required classes;
your main program will be ignored.
Strictly obey the type definitions of the statement.

Information

- Author
- Salvador Roura
- Language
- English
- Translator
- Carlos Molina
- Original language
- Catalan
- Other languages
- Catalan
- Official solutions
- C++
- User solutions
- C++