Question:- If the circumference of the circle is 24 inches what is the approximate diameter
Answer
When you want to determine the diameter of a said circle based on the known circumference, the formula that relates circumference to diameter is what you need C=πd. This equation has C as the symbol for circumference, d as symbol for diameter, and π as the symbol for the mathematical constant almost equal to 3.14.
The agreed upon analogy that we can derive from this problem is that the radius of the circle is 12 inches. With the formula C = πd, we substitute for C = 24 and for π = 3.14. Then it would just require solving the formula of d to get the diameter.
The calculation is:
24 = 3.14 * d
d = 24/3.14
d = 7.64 inches
For instance, given a circle that has a perimeter of 24 inches, stretching the circle formula to include this perimeter and then approximating the value of π to be 3.14 we find that the diameter is equivalent to 7.64 inches . This shows that with just the knowledge of circumference you use mathematical correlation between circumference and diameter to arrive at an estimate for the diameter based on the given case.
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