Question

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

Answer 1

Answer:

$r = \frac{d}{2}= \frac{8}{2}= 4$

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

$C = 2\pi r$

We want to find the value of $\pi$ and solving from the last equation we got:

$\pi = \frac{C}{2r}$

And replacing we got:

$\pi = \frac{25}{2*4}= 3.125$

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

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:

$r = \frac{d}{2}= \frac{8}{2}= 4$

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

$C = 2\pi r$

We want to find the value of $\pi$ and solving from the last equation we got:

$\pi = \frac{C}{2r}$

And replacing we got:

$\pi = \frac{25}{2*4}= 3.125$

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