Question

Given a circle with a circumference of 10cm, which equation shows how the relationship between a circumference and its diameter can be used to find π?

Question 1 options:

π=10d

π = 10d

π=d10

π=110d

Answer 1

Answer:

The answer would be π=10d

Answer 2

Answer:

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

And replacing we got:

$\pi = \frac{10 cm}{2*r}$

Since we know that $D = 2r$ and $r = \frac{D}{2}$

If we replace we got:

$\pi = \frac{10 cm}{2 *\frac{D}{2}} = \frac{10}{D}$

Step-by-step explanation:

For this case we know the the circumference of the circle is 10 cm, and the formula for the circumference is given by:

$C= 2\pi r$

r = 10 cm

And if we solve for $\pi$ we can divide both sides by 2r we got:

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

And replacing we got:

$\pi = \frac{10 cm}{2*r}$

Since we know that $D = 2r$ and $r = \frac{D}{2}$

If we replace we got:

$\pi = \frac{10 cm}{2 *\frac{D}{2}} = \frac{10}{D}$