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Area and volume SAT question

Math · Geometry and Trigonometry · Medium · Answer it here, explanation included.

A circle has a circumference of centimeters. What is the diameter, in centimeters, of the circle?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

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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