{"text_format":"3","workbook":"xlsx","n_sheets":3,"sheets":["Sheet1","Sheet2","Sheet3"],"not_rendered":{"charts":1,"images":3,"macros":1,"defined_names":8,"comments":1},"read":"whole","date_system":"1900"}

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[null,"    Going Around In Circles"]
[null,"         (The Hypocycloid)"]
[]
[null,"This graphing utility lets you investigate"]
[null,"   the path traced out by a fixed point"]
[null,"       on a small circle as it rolls around "]
[null,"    the inside rim of a larger, fixed circle."]
[]
[]
["What is the radius R of the larger fixed circle?"]
[null,null,"(R is between 3 and 12)",null,{"$f":"F11","v":10},{"v":10,"d":"10.00"}]
[]
[]
["What is the radius r of the smaller rolling circle?"]
[null,null,"(r is between 1 and 6)",null,{"$f":"F15","v":2},{"v":2,"d":"2.00"}]
[]
[]
[]
[]
[]
[]
["Click each item below for suggestions and investigations",{"$nulls":7},"    Now trace along the hypocycloid: q = ",{"$nulls":4},{"$f":"dQ* L23","v":{"v":3.3566433566433567,"d":"3.36"}},"radians"]
[null,"   Item 1",{"$nulls":9},21]
[null,"   Item 2",{"$nulls":9},"then:","x =",{"$f":"LOOKUP(N22,Sheet2!C3:C1004,Sheet2!H3:H1004)","v":{"v":-6.51115709464265,"d":"-6.51"}}]
[null,"   Item 3",{"$nulls":10},"y =",{"$f":"LOOKUP(N22,Sheet2!C3:C1004,Sheet2!I3:I1004)","v":{"v":-3.223125448895467,"d":"-3.22"}}]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["     Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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[null,null,"Q","r = f(Q)","r = g(Q)","x1","y1","x2","y2"]
[]
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