A square is inscribed in a circle. If the area of the inscribed square is 50, what is the area of the circle?

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问题 A square is inscribed in a circle. If the area of the inscribed square is 50, what is the area of the circle?

选项 A、5π
B、5π

C、10π
D、25π
E、50π

答案D

解析 The correct answer is D. If the area of the square is 50, then one side of the square is

. The diagonal of an inscribed square is equal to the diameter of the circle. The diagonal creates 2 isosceles right triangles. Use the Pythagorean Theorem:

. Simplify the equation and you get c=10. If the diameter is 10, then the radius is 5. Since the area of a circle is πr², the area of this circle is 25π.

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本试题收录于： GRE QUANTITATIVE题库GRE分类

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A square is inscribed in a circle. If the area of the inscribed square is 50, what is the area of the circle?

GRE QUANTITATIVE

GRE

Toronto’sthirdCityHall,nowknownasOldCityHall,wasdesignedbyEdwardJamesLennoxanddeclaredopenonSept.18,1899.

AstheNationalParkServicecelebratesits100thanniversary(周年纪念),PresidentBarackObamahasannouncedtheestablishmentof

IftheDakotaAccessPipeline(输油管道)iscompleted,itwillcarrynearlyhalfamillionbarrelsofoilacrossfourstateseveryda

WhentheUnitedStatesCongresscreatedYellowstoneNationalParkin1872,thegoalwastosetasideaplacewhereAmericanscou

Somepeoplethinkoflifeasagame.Therearesimilaritiesbetweenlifeandgames;bothcanbeplayed,bothhaverules,andbot

AsTheplanecircledovertheairport,everyonesensedthatsomethingwaswrong.Theplanewasmovingunsteadilythroughtheair

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