Respuesta :
Answer:
A,B,C,D,E
Step-by-step explanation:
the relationship given between the area and circumference is:
[tex]\text{Area} = 16 \times \text{Circumference}[/tex]
Using the formulas for area and circumference of the circle
[tex]\pi r^2 = 16(2\pi r)[/tex]
solving:
[tex]r^2 = 32r[/tex]
[tex]r = 32\,\text{units}[/tex]
convert this into diameter
[tex]2r = d = 2(32)\,\text{units}[/tex]
[tex]d = 64\,\text{units}[/tex]: Diameter of circle O
Now, the question is asking us to select all such diameters that can fit completely inside this circle O
So, all we need to do is just select all circles that have a diameter less than 64 units. All such circles that have a diameter less than 64 units will completely fit inside the circle O.
Hence, the circles that fit inside circle O are: A,B,C,D,E
