Circles (1) P84786

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.