Question a-circ
A circle has a circumference of centimeters. What is the diameter, in centimeters, of the circle?
A circle has a circumference of 31 π centimeters. What is the diameter, in centimeters, of
Hard-difficulty · SAT Math · Circles — Radius, diameter, circumference, area. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is . The circumference of a circle is equal to centimeters, where represents the radius, in centimeters, of the circle, and the diameter of the circle is equal to centimeters. It's given that a circle has a circumference of centimeters. Therefore, . Dividing both sides of this equation by yields . Since the diameter of the circle is equal to centimeters, it follows that the diameter, in centimeters, of the circle is .
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