Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

Answer: The formula for the area of a circle.
Step-by-step explanation:
1. The formula for calculate the area of a circle is:
[tex]A=r^{2}\pi[/tex]
Where r is the radius of the circle.
2. By definition, the number π is an irrational number, because it cannot be expressed as a simple fraction. Therefore, if you want to calculate the area of a circle, the result will be an irrational number.
3. Then, the answer is the first option.
Answer:
Option A
Step-by-step explanation:
Formula for area of circle = [tex]\pi r^2[/tex]
Formula for area of trapezoid =[tex]\frac{base1+base2}{2}*height[/tex]
Formula for area of triangle = [tex]\frac{base*height}{2} [/tex]
Formula for area of rectangle = Length * width
[tex]\pi[/tex] is an irrational number
The formula for area of circle contains [tex]\pi[/tex] an irrational number which results in an irrational number
so option A is correct