CK12 - Geometry

(Marvins-Underground-K-12) #1

  1. Fourcirclesare arrangedinsidean equilateraltriangleas shown.If the trianglehas sidesequalto
    cm, whatis the radiusof the biggercircle?Whatare the radii of the smallercircles?

  2. In the followingdrawing,eachsegmentis tangentto eachcircle.The largestcirclehas a radiusof


inches.The mediumcirclehas a radiusof inches.Whatis the radiusof the smallestcircletangentto the
mediumcircle?



  1. Circlescenteredat and are tangentat. Showthat , and are collinear.

  2. is a commonexternaltangentto the two circles. is tangentto both circles.Provethat

  3. A circlewith a -inchradiusis centeredat , and a circlewith a -inchradiusis centeredat ,


where and are inchesapart.The commonexternaltangenttouchesthe smallcircleat and


the largecircleat. Whatkind of quadrilateralis Whatare the lengthsof its sides?


Answers


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