17
QuizMultiple Choice

N/A — Exam

Question 17 • Algebra II

The formula for the circumference of a circle is cap c is equal to pi d , where d is the length of the diameter. If d is a rational number, what can you conclude about the circumference?

Answer
A
It is an irrational number.
B
It is a rational number.
C
It is a repeating or terminating decimal.
D
It is a fraction.

Explanation

The circumference is C = πd. Since π is irrational, multiplying it by a nonzero rational diameter gives an irrational number. So the circumference is irrational (choice A). If the diameter were zero, the circumference would be 0, but a circle’s diameter is positive.

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