11
QuizMultiple Choice

Expressions and Equations — Test

Question 11 • Algebra II

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

Explanation

A circle’s area is A = πr². If the radius is a nonzero rational number, then r² is rational and multiplying it by the irrational number π gives an irrational area. The rectangle, triangle, and trapezoid area formulas use only rational values and rational operations, so they produce rational areas.

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