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15.9
Answer: 15.9 centimeters.
Step-by-step explanation:
The formula for calculate the circumference of a circle is this one:
[tex]C=2\pi r[/tex]
Where "C" is the circumference of the circle and "r" is the radius.
We know that:
[tex[C=50cm\\\pi=3.14[/tex]
Then, substituting these values into the formula and solving for "r", we get:
[tex]50cm=2(3.14)r\\\\r=\frac{50cm}{6.28}\\\\r=7.96cm[/tex]
Since the diameter of a circle is twice the radius, we can multiply the radius by 2 to get the diameter of this circle. Then, rounded to the nearest tenth of a centimeters, this is:
[tex]D=2r\\\\D=2(7.96cm)\\\\D=15.9cm[/tex]