CK12 - Geometry

(Marvins-Underground-K-12) #1

  1. Two concentriccircleshaveradii of inchesand inches.A segmenttangentto the smallercircleis a
    chordof the largercircle.Whatis the lengthof the segment?

  2. Two congruentcirclesintersectat points and. is a chordto both circles.If the segment


connectingthe centersof the two circlesmeasures in and = in, how long is the radius?



  1. Find the lengthof the chordof the circle that is givenby line.

  2. ProveTheorem9-9.

  3. Sketchthe circlewhoseequationis. Usingthe samesystemof coordinateaxes,graph


the line , whichshouldintersectthe circletwice—at and at anotherpoint in the


secondquadrant.Find the coordinatesof.



  1. Also find the coordinatesfor a point on the circleabove,suchthat.

  2. The line intersectsthe circle in two points.Call the third quadrantpoint and


the first quadrantpoint , and find their coordinates.Let be the pointwherethe line through and


the centerof the circleintersectsthe circleagain.Showthat is a right triangle.



  1. A circularplayingfield metersin diameterhas a straightpath cuttingacrossit. It is metersfrom
    the centerof the field to the closestpointon this path.How long is the path?


Answers






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d.
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