Answer:
The area of the compact disc is 113.04 square centimeters
Explanation:
A compact disc can be seen simplistically like a circle.
The area of a circle is given by the formula:
[tex]A_{circle} = \pi * r^{2}[/tex].
Where [tex]\pi[/tex] is the ratio between the length of a circle's circumference to its diameter, and it is, approximately, [tex]\pi = 3.14159265358979....[/tex].
And r is the circle's radius (in this case, the distance from the center of a compact disc to the edge of the disc).
For practical purposes, [tex]\pi [/tex] is usually taken with only few decimals (that is, [tex]\pi = 3.14[/tex]).
So, the area of the compact disc is:
[tex]\pi * (6cm)^{2}= \pi * 36cm^2 = 3.14 * 36cm^2= 113.04cm^2[/tex].