(Geometry: point in a rectangle?)

Question

Write a program that prompts the user to enter a point (x, y) and checks whether the point is within the rectangle centered at (0, 0) with width 10 and height 5. For example, (2, 2) is inside the rectangle and (6, 4) is outside the rectangle.

Hint: A point is in the rectangle if its horizontal distance to (0, 0) is less than or equal to 10 / 2 and its vertical distance to (0, 0) is less than or equal to 5.0 / 2.

Answer 1

class Rectangle():

def __init__(self, width, height):

self.width = width

self.height = height

def point_inside(self, x, y):

if abs(x) <= self.width/2 and abs(y) <= self.height/2:

return True

return False

rect = Rectangle(10,5)

x_coord = input("Enter the x coordinate of a point to test: ")

y_coord = input("Enter the y coordinate of a point to test: ")

print(rect.point_inside(x_coord,y_coord))

Hi,

Please see the code above.

(1) For this one, we're going to define a class Rectangle which we will use to instantiate our rectangle of width 10 and height 5. We do this by defining an init class which allows us to use the syntax Rectangle(10,5)

(2) next we create a method which tests if a point is inside the rectangle using the hint you provided

(3) finally we get our x, y input from our user and call the function using the instantiated Rectangle.

Hope this is clear!