SOLUTION: does the number pi, which represents the ratio of the circumfrenece and diameter of a circle, can be represented by a complex number?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: does the number pi, which represents the ratio of the circumfrenece and diameter of a circle, can be represented by a complex number?      Log On


   

Question 52367: does the number pi, which represents the ratio of the circumfrenece and diameter of a circle, can be represented by a complex number?
Found 2 solutions by AnlytcPhil, THANApHD:
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Can the number p, which represents the ratio of the 
circumference and diameter of a circle, be represented 
by a complex number?

Yes, as p + 0i

The answer give below is incorrect because 
all real numbers are also complex numbers.

Edwin

Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
Pi ( ratio of the circumfrenece ) is not a complex number. But it is a real number which an ever exist. the only problem is it can not be defined to a precise decimal. It is an irrational number. Like
sqrt%282%29
╥ =3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 (up to 50 decimals) ╥ can not be expressed as a fraction.