Answer:
The diameters of circles that could fit completely inside circle O are 25, 36, 42, 48 and 54.
Step-by-step explanation:
The actual diameter of the circle:
[tex]\pi r^{2} = 16 x \\2\pi r = x\\\\16(2\pi r)=16x\\\\32\pi r= \pi r^{2} \\\\\frac{32\pi r}{\pi r} = \frac{\pi r^{2} \\}{\pi r} \\\\r = 32[/tex]
Since the radius is equal to 32 units, the diameter is equal to 64 units.
Therefore, the diameters of circles that could fit completely inside circle O must be smaller than or equal to 64.
