Answer :
Answer : The expression best represents the value of p is, [tex]\pi=\frac{47.1\times 2}{2\times 15}[/tex]
Step-by-step explanation :
Given:
Circumference of circle = 47.1 inches
Diameter of circle = 15 inches
First we have to calculate the radius of circle.
[tex]\text{Radius of circle}=frac{\text{Diameter of circle}}{2}[/tex]
[tex]\text{Radius of circle}=frac{15}{2}inches[/tex]
Now we have to calculate the value of p or π.
Circumference of circle = [tex]2\pi r[/tex]
where,
r = radius of circle
Circumference of circle = [tex]2\pi r[/tex] = 47.1 inches
[tex]2\pi r[/tex] = 47.1 inches
[tex]\pi=\frac{47.1}{2\times (\frac{15}{2})}[/tex]
[tex]\pi=\frac{47.1\times 2}{2\times 15}[/tex]
[tex]\pi=3.14[/tex]
Thus, the expression best represents the value of p is, [tex]\pi=\frac{47.1\times 2}{2\times 15}[/tex]