Question

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

Answer 1

Answer:

Option A

Step-by-step explanation:

Formula for area of circle = $\pi r^2$

Formula for area of trapezoid =$\frac{base1+base2}{2}*height$

Formula for area of triangle = $\frac{base*height}{2}$

Formula for area of rectangle = Length * width

$\pi$ is an irrational number

The formula for area of circle contains $\pi$ an irrational number which results in an irrational number

so option A is correct

Answer 2

Answer:  The formula for the area of a circle.

Step-by-step explanation:

1. The formula for calculate the area of a circle is:

$A=r^{2}\pi$

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.