Question

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

Answer 1

Option A

Explanation:

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

Formula for area of trapezoid =
`(base1+base2)/(2)*height`

Formula for area of triangle =
`(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.

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.