13
QuizMultiple Choice

Operations on Rational and Irrational Numbers

Question 13 • FL-1200330-Algebra 2 CR

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

Answer
A
the formula for the area of a circle
B
the formula for the area of a trapezoid
C
the formula for the area of a triangle
D
the formula for the area of a rectangle

Explanation

The area of a circle is A = πr². If the radius r is a nonzero rational number, then r² is rational, and multiplying it by the irrational number π gives an irrational result. The other area formulas use only rational inputs and rational arithmetic, so their results are rational.

AI-written and checked against the verified answer.

Previous
Next