Answer:
13 CDs can be cut from 1 m x 50 cm sheet
Explanation:
a) The circunference of the CD is represented by the following formula:
(1)
Where:
- Horizontal position, measured in centimeters.
- Vertical position, measured in centimeters.
Now, we proceed to present a representation of the CD.
b) The area of a CD is represented by the following formula:
(2)
Where:
- Area of the CD, measured in square centimeters.
- Radius, measured in centimeters.
If we know that
, then the area of a CD is:


The area of the sheet is represented by this expression:
(3)
Where:
- Area of the sheet, measured in square centimeters.
- Width of the sheet, measured in centimeters.
- Length of the sheet, measured in centimeters.
If we know that
and
, the area of the sheet is:


Now we divide the area of the sheet by the area of the CD:
(4)

The maximum number of CD is the integer that is closer to this result. Therefore, 13 CDs can be cut from 1 m x 50 cm sheet.