3
QuizMultiple Choice

Area of a Circle — Quiz

Question 3 • Grade 7 Mathematics

Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which lengths could he use for the radius? Choose three correct answers.

Answer
A
1 half
B
2 and 1 half
C
1
D
2
E
1 point 5

Explanation

For a radius r, the circumference is 2πr and the area is πr². The circumference is greater when 2πr > πr², which simplifies to r < 2 for a positive radius. The choices less than 2 are 1/2, 1, and 1.5, so the correct choices are A, C, and E. A radius of 2 makes the values equal, not greater.

AI-written and checked against the verified answer.

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