Answer :
Answer:
C/d = 31.4/10
Step-by-step explanation:
We know the formula of the circumference, which ir:
C = pi*d
Where C is the circumference and d is the diameter of the circle. If we want to know the value of the pi number we just need to divide both sides of the equation above by d:
C/d = pi*d/d
C/d = pi
Thus, we can write pi as the ratio C:d or C/d, which means, how many times the diameter enters on the circumference. In our case is:
pi = 31.4/10 = 3.14
And 3.14 is how we usually use the pi number.
The circumference represent the arc length of circle. The circumference of circle can be determine by the multiplication radius in to [tex]2\pi[/tex].
The ratio to determine the value of pi is [tex]\frac{C}{d}[/tex].
Given:
The diameter of the circle is [tex]10\;\rm cm[/tex].
The circumference of the circle is [tex]31.4\:\rm cm[/tex].
The formula for diameter is,
[tex]r=\frac{d}{2}[/tex]
The formula for the circumference of the circle is as follows,
[tex]C=2\pi \times \frac{d}{2}\\C= \pi d[/tex]
Divide both side by [tex]d[/tex].
[tex]\frac{C}{d}=\frac{d}{d}\pi \\\frac{C}{d}=\pi[/tex]
Now, put [tex]C=31.4\:\rm cm[/tex] and [tex]d=10\:\rm cm[/tex].
[tex]\frac{31.4}{10}=\pi\\3.14=\pi[/tex]
The usual value of [tex]\pi[/tex] is [tex]3.14[/tex].
Thus, the ratio to determine the value of pi is [tex]\frac{C}{d}[/tex].
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