10
QuizMultiple Choice

Operations on Rational and Irrational Numbers — Quiz

Question 10 • Integrated Math II CR SUSD (EX)

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 triangle
C
the formula for the area of a rectangle
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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