Question a-circ

4.3 Circles - Radius, diameter, circumference, area
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A circle has a circumference of 31π centimeters. What is the diameter, in centimeters, of the circle?

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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 31 . The circumference of a circle is equal to 2πr centimeters, where r represents the radius, in centimeters, of the circle, and the diameter of the circle is equal to 2 r centimeters. It's given that a circle has a circumference of 31π centimeters. Therefore, 31π=2πr. Dividing both sides of this equation by π yields 31 = 2 r . Since the diameter of the circle is equal to 2 r centimeters, it follows that the diameter, in centimeters, of the circle is 31 .