Question

where d is the length of the diameter. If d is a rational number, what can you conclude about the circumference?

Answer 1

Answer:

The circumference is a irrational number

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

In this problem we have that

$D=d\ units$ ---> is a rational number

substitute

$C=\pi (d)$

$C=d\pi\ units$

Remember that

The number π is a irrational number

and

If you multiply a rational number by a irrational number, the result is a irrational number

therefore

The circumference is a irrational number