20
QuizMultiple Choice

Area of a Circle — Unit test

Question 20 • *Integrated Math II Full

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

Answer
A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical value of the circumference and area are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.

Explanation

The circumference is π times the diameter: C = 3π ≈ 9.42. The area is π times the radius squared; the radius is 1.5 meters, so A = π(1.5)² = 2.25π ≈ 7.07. Thus, the numerical value of the circumference is greater than the numerical value of the area.

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