Victor measured a circular lid and found d, the diameter, was 8 inches and C, the circumference was 25 inches. Which expression represents an approximate value for π

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Answer:

[tex] r = \frac{d}{2}= \frac{8}{2}= 4[/tex]

And we also know that circumference C =25 inches and the formula for this circumference is given by:

[tex] C = 2\pi r[/tex]

We want to find the value of [tex]\pi[/tex] and solving from the last equation we got:

[tex] \pi = \frac{C}{2r}[/tex]

And replacing we got:

[tex] \pi = \frac{25}{2*4}= 3.125[/tex]

So then the approximation for the value of [tex]pi \approx 3.125[/tex] and that's very close to the real value of [tex] \pi = 3.14159[/tex]

Step-by-step explanation:

For this case we know that the diameter d =8 in. And we can find the radius from this info since d = 2r with r representing the radius. If we solve for r we got:

[tex] r = \frac{d}{2}= \frac{8}{2}= 4[/tex]

And we also know that circumference C =25 inches and the formula for this circumference is given by:

[tex] C = 2\pi r[/tex]

We want to find the value of [tex]\pi[/tex] and solving from the last equation we got:

[tex] \pi = \frac{C}{2r}[/tex]

And replacing we got:

[tex] \pi = \frac{25}{2*4}= 3.125[/tex]

So then the approximation for the value of [tex]pi \approx 3.125[/tex] and that's very close to the real value of [tex] \pi = 3.14159[/tex]

Answer:

25/8

Step-by-step explanation:

I had the same question sorry if im wrong

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