Think about the values that the given variables can take.
C, irrational numbers
Before we consider the given variables, let's recall the various types of numbers.
Rational Number: A number is a rational number if it can be written in the form ab, where a and b are both integers and b≠0.
Integer: A number is an integer if it is a positive or negative counting number (or zero). All integers are also rational numbers because any number can be written as a division by one, a1.
Whole Number: A number is a whole number if it is a non-negative counting number. All whole numbers are also integers and rational numbers.
Natural Number: A number is a natural number if it is a positive counting number. All natural numbers are also whole numbers, integers, and rational numbers.
Irrational Number: An irrational number is a number that cannot be written in the form of a rational number. These are recognized as being non-repeating, infinite decimals.
Now let's consider the given variables by thinking about the values they can take.
the circumference C of a circle
found by using the formula C=2Ď€ r
We know that π is included in the set of irrational numbers which means that C could also be irrational. However, this would depend on the value of r which could be any positive real number. Consider the following examples where r= 1π or r=3, respectively.
C is Rational:& 2* π * 1/π = 2 [0.8em]
C is Irrational:& 2* π * 3 = 6 π
