What is the area of circle C?
(1) The circumference of circle C is 10π.
(2) The longest straight line segment that fits inside circle C has length 10.
Five fresh questions every day, your progress tracked, every miss explained. Free with an account.
Data InsightsData Sufficiency
Free GMAT Data Sufficiency Practice Question
PrepLattice is an independent test-preparation service and is not affiliated with or endorsed by GMAC, the organization that administers the GMAT. GMAT and GMAT Focus are trademarks of GMAC, used here only to name the exam this question is designed to prepare you for.
Answer & Explanation
Correct answer
D
The area of a circle is π times the radius squared, so we just need the radius.
(1) alone: the circumference is 2πr = 10π, so r = 5. The area is π × 25 = 25π. A single value. Sufficient.
(2) alone: the longest segment that fits inside a circle is its diameter, so the diameter is 10 and the radius is 5. Same radius, area 25π. A single value. Sufficient.
both statements are just two different ways of handing you the radius. Either one alone determines the area. Answer: (D).