CK12 - Geometry

(Marvins-Underground-K-12) #1
a. If the radiusof the circleis cm, how muchwire was usedto outlinethe shadedsections?


  1. The circumferenceof a circleis feet. Whatis the radiusof the circle?

  2. A gear with a radiusof inchesturnsat a rate of RPM(revolutionsper minute).How far doesa
    pointon the edgeof the pulleytravelin one second?

  3. A centerpivotirrigationsystemhas a boomthat is m long.The boomis anchoredat the centerpivot.
    It revolvesaroundthe centerpivotpointonceeverythreedays.How far doesthe tip of the boomtravelin
    one day?

  4. The radiusof Earthat the Equatoris about miles.Belem(in Brazil)and the GalapagosIslands(in


the PacificOcean)are on (or very near)the Equator. The approximatelongitudesare Belem, , and


GalapagosIslands,.


a. Whatis thedegreemeasureof themajorarc on the Equatorfrom Belemto the GalapagosIslands?

b. Whatis the distancefrom Belemto the GalapagosIslandson the Equatorthe “longway around?”


  1. A regularpolygoninscribedin a circlewith diameter has sides.Write a formulathat expressesthe


perimeter, , of the polygonin termsof. (Hint:Use trigonometry.)



  1. The pulleyshownbelowrevolvesat a rate of RPM.

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