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Answer :
An approximation for pi is 3.14.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we are given the circumference as 62.8 inches.
We can calculate the radius of the circle using the formula r = d/2, where d is the diameter. The diameter is given as 20 inches, so the radius would be 20/2 = 10 inches.
Substituting the known values into the formula for circumference, we get 62.8 = 2π(10).
To find an approximation for pi, we can isolate it in the equation. Dividing both sides of the equation by 2(10), we get π ≈ 62.8 / (2 * 10) = 3.14.
An approximation for pi, based on the given information, is 3.14. This approximation is commonly used in many mathematical calculations and is widely recognized. However, it is important to note that pi is an irrational number with a never-ending decimal representation, and 3.14 is just an approximation that is often used for simplicity in calculations. For more precise calculations, higher precision approximations or the actual value of pi can be used.
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Therefore, the expression that represents an approximation for is option C.(62.8 inches / 20 inches)
The circumference of a circle is given by the formula = × , where is the circumference and is the diameter.
Given that the circumference C is 62.8 inches and the diameter d is 20 inches, we can rearrange the formula to solve for :
π = (C/d)
Substituting the given values:
π = (62.8 inches / 20 inches)
π ≈ 3.14
Therefore, the expression that represents an approximation for is:
(62.8 inches / 20 inches)
So, the correct answer is option:
c. (62.8 inches / 20 inches)
Complete Question:
The circumference of circle P is 62.8 inches and the diameter is 20 inches. Which expression represents an approximation for pi?
A. 20inches/62.8inches
B. (2 inches) × (62.8 inches) × (20 inches)
C. 62.8inches/20inches
D. (62.8 inches)2 × (20 inches)
