Answer:
A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?
The expression which represents the value of π is option C from the attachment that is π = 43.96/14
Step-by-step explanation:
Given:
Circumference of the circle = 43.96 feet
Diameter f the circle = 14 feet
So,
We know that :
Circumference of the circle = [tex]2(\pi )r[/tex] or [tex](\pi)d[/tex]
Re-arranging the formula:
⇒ [tex](\pi)d = Circumference\ (C)[/tex]
⇒ [tex](\pi )d =C[/tex]
⇒ [tex]\frac{\pi\times d}{d}=\frac{C}{d}[/tex]
⇒ [tex]\pi =\frac{C}{d}[/tex]
Plugging the numeric values:
⇒ [tex]\pi =\frac{43.96}{14}[/tex]
So the expression for π is 43.96/ 14,and option C is the correct choice.
The required expression for value of x is [tex]\frac{43.96}{14}[/tex].
Given that,
The circumference of the circle was about 43.96 feet,
And the diameter of the circle was 14 feet
We have to determine,
Which expression best represents the value of x.
According to the question,
Circumference of the circle = 43.96 feet
Diameter f the circle = 14 feet
Then,
Circumference of the circle = [tex]\pi \times d[/tex]
Let, [tex]\pi = x[/tex]
Circumference of the circle [tex]= x d[/tex]
Circumference of the circle = 43.96 feet
Therefore,
[tex]= 43.96 = x\times 14\\\\= x = \frac{43.96}{14} \\\\[/tex]
Hence, The required expression for value of x is [tex]\frac{43.96}{14}[/tex].
For the more information about the Circle click the link given below.
https://brainly.com/question/14605628
