Answer: The diameter of the DVD is 12 cm.
Step-by-step explanation:
Given : The area of a DVD = [tex]36\pi\ cm^2[/tex]
As we know , DVD is circular in shape , so we use the formula of area of a circle here.
Area of circle = [tex]\pi r^2[/tex], where r is the radius.
As per given , we get
[tex]\pi r^2=36\pi\\\\\Rightarrow\ r^2=36\ [\pi \text{ is cancelled from both sides}]\\\\\Rightarrow\ r=\sqrt{36}=6[\text{Dimensions cannot be negative}][/tex]
Thus , radius = 6 cm
Also, Diameter = 2r = 2(6)= 12 cm
Hence, the diameter of the DVD is 12 cm.
