Circle Small
four small circles each with radius of one unit are inscribed in a larger circle The?
larger circle has one point of tangency with each of the smaller circles. Each small circle is tangent to two of other smaller circles. what is the diameter of the larger circle round ur answer to 4 decimal places C:UsersGuestDocumentsfinal.jpge is the link to see the diagram for the question
Suppose that the four small circles are:
(x+1)^2 + (y+1)^2 = 1, center (-1,-1)
(x+1)^2 + (y-1)^2 = 1, center (-1,1)
(x-1)^2 + (y+1)^2 = 1, center (1,-1)
(x-1)^2 + (y-1)^2 = 1, center (1,1)
And the larger circle is:
x^2 + y^2 = (1+sqrt(2))^2, center (0,0), radius 1+sqrt(2), diameter 2+sqrt(8)
That will fulfill the criteria.
The answer is 2+sqrt(8) which is approximately 4.828
To see what I mean, go to:
http://www.walterzorn.com/grapher/grapher_e.htm
And enter in the "function" field:
sqrt(1-(x-1)^2)+1;
-sqrt(1-(x-1)^2)+1;
sqrt(1-(x-1)^2)-1;
-sqrt(1-(x-1)^2)-1;
sqrt(1-(x+1)^2)+1;
-sqrt(1-(x+1)^2)+1;
sqrt(1-(x+1)^2)-1;
-sqrt(1-(x+1)^2)-1;
sqrt((1+sqrt(2))^2-x^2);
-sqrt((1+sqrt(2))^2-x^2)
 |
 Spellbinders Nestabilities Classic Scalloped Circles SM $18.95 Time Remaining: 3h 31m Buy It Now for only: $18.95 |
 NEW SPELLBINDER BIG SCALLOPED CIRCLES SM DIES $22.50 Time Remaining: 4h 21m Buy It Now for only: $22.50 |
 Spellbinders Sm Classic Inverted Scalloped circles S 195 New in Package $7.50 Time Remaining: 5h 29m |
 Spellbinders Nestabilities Classic Scalloped Circles Small New in Package $10.50 (9 Bids) Time Remaining: 19h 7m |
 Classic Scallop Circle Small Spellbinders Nestabilities Dies S4125 $21.55 Time Remaining: 20h 17m Buy It Now for only: $21.55 |
 5 16 Circle Paper Shapers Small Punch PSP01C $7.02 Time Remaining: 20h 17m Buy It Now for only: $7.02 |
 1 2 Circle Paper Shapers Small Punch PSP02C $7.14 Time Remaining: 20h 18m Buy It Now for only: $7.14 |
 Circle 16mm Punch Bunch Small Punch 1P 121 $9.88 Time Remaining: 22h 43m Buy It Now for only: $9.88 |
 Circle 12mm Punch Bunch Small Punch 1P 120 $9.88 Time Remaining: 23h 2m Buy It Now for only: $9.88 |
 Spellbinders Nestabilities Classic Scalloped Circles Small 6 Dies $14.99 (1 Bid) Time Remaining: 1d 17h 49m |
 Classic Scalloped Circles SMALL $0.99 Time Remaining: 2d 3h 42m |
 Spellbinders Nestabilities Classic Scalloped Sm Circles S4 125 $10.05 (8 Bids) Time Remaining: 2d 5h 29m |
 Spellbinders Nestabilities BIG SCALLOPED CIRCLES SMALL S4 250 $18.99 Time Remaining: 2d 8h 51m Buy It Now for only: $18.99 |
 SPELLBINDERS NESTABILITIES CLASSIC SCALLOPED CIRCLES SM DIES S4 125 $17.95 Time Remaining: 2d 9h 1m Buy It Now for only: $17.95 |
 NIB Spellbinders S4 125 Classic Scallop Circles Small Die Set LOVELY $13.99 Time Remaining: 3d 4h 7m Buy It Now for only: $19.99 |
 Spellbinders Nestabilities Cutting Dies Big Scalloped Circles Small $17.74 Time Remaining: 3d 7h 2m |
 Spellbinders Nestabilities STANDARD CIRCLES SMALL 7 DIE $17.99 Time Remaining: 3d 10h 1m Buy It Now for only: $17.99 |
 Nestabilities Standard Circle Small $19.94 Time Remaining: 3d 22h 20m Buy It Now for only: $19.94 |
 Spellbinders Nestabilities Classic Scalloped Circle SM $19.94 Time Remaining: 3d 22h 20m Buy It Now for only: $19.94 |
 Nestabilities Die Big Scalloped Circles Small $19.94 Time Remaining: 3d 23h 7m Buy It Now for only: $19.94 |
 NIP Spellbinders Nestabilities Classic Scalloped Circles Small s4 125 6 dies $9.99 Time Remaining: 4d 3h 50m Buy It Now for only: $15.99 |
 Spellbinders Nestabilities Die STANDARD CIRCLES SMALL $19.49 Time Remaining: 4d 6h 26m Buy It Now for only: $19.49 |
 SPELLBINDERS NESTABILITIES STANDARD CIRCLES SMALL DIES S4 116 $17.95 Time Remaining: 4d 20h 35m Buy It Now for only: $17.95 |
 SPELLBINDERS NESTABILITIES BIG SCALLOPED CIRCLES SM S4 250 $17.95 Time Remaining: 4d 23h 36m Buy It Now for only: $17.95 |
 NIP Spellbinders Nestabilities Standard Circles Small s4 116 7 dies $9.99 Time Remaining: 5d 5h 40m Buy It Now for only: $15.99 |
 Spellbinders NESTABILITIES Pinking Circles Small S4 172 $22.49 Time Remaining: 5d 17h 33m Buy It Now for only: $22.49 |
 Spellbinders NESTABILITIES Inverted Circles Small S4195 $22.49 Time Remaining: 5d 19h 31m Buy It Now for only: $22.49 |
 Spellbinders Nestabilities Classic Scalloped Circles Small $9.99 Time Remaining: 5d 20h 57m Buy It Now for only: $14.99 |
 Spellbinders Nestabilities BIG SCALLOPED CIRCLES SM Die $22.99 Time Remaining: 6d 6h 43m Buy It Now for only: $22.99 |
 s4 117 Spellbinders PETITE SCALLOPED CIRCLE SMALL Nestabilities $24.95 Time Remaining: 7d 1h 25m Buy It Now for only: $24.95 |
 Memory Box SMALL SCALLOPED CIRCLE Craft Die 98204 $9.99 Time Remaining: 8d 14m Buy It Now for only: $9.99 |
 Spellbinders Nestabilities Dies Standard Circle Small $21.72 Time Remaining: 13d 7m Buy It Now for only: $21.72 |
 Standard Circle Small Spellbinders Nestabilities Dies S4116 $21.55 Time Remaining: 13d 1h 22m Buy It Now for only: $21.55 |
 SPELLBINDERS NESTABILITIES CLASSIC CIRCLES SMALL S4 125 $17.99 Time Remaining: 13d 21h 15m Buy It Now for only: $17.99 |
 Spellbinders S4 250 Big Scalloped Circles Sm Shapeabilities 7 Templates NEW $32.00 Time Remaining: 14d 6h 3m Buy It Now for only: $32.00 |
 CLASSIC SCALLOP CIRCLES SMALL Wizard Nestabilities Dies $21.49 Time Remaining: 15d 18h 22m Buy It Now for only: $21.49 |
 STANDARD CIRCLES SMALL Wizard Nestabilities 7 Dies $21.49 Time Remaining: 15d 18h 22m Buy It Now for only: $21.49 |
 Quickutz Lifestyle Crafts 054 10 Pop Up Windows Small Circle 7 8 $3.00 Time Remaining: 16d 3h 38m Buy It Now for only: $3.00 |
 s4 125 Spellbinders CLASSIC SCALLOPED CIRCLE SMALL Nestabilities $24.95 Time Remaining: 17d 20h 13m Buy It Now for only: $24.95 |
 New Classic Scalloped Circles Die Template Small Fast Free Shipping $26.99 Time Remaining: 20d 1h 21m Buy It Now for only: $26.99 |
 Spellbinders Nestabilities Dies Circle Sm NEW $24.99 Time Remaining: 25d 12h 41m Buy It Now for only: $24.99 |
 Spellbinders Nestabilities Dies Classic Scallop Circle Small $21.72 Time Remaining: 26d 2h 26m Buy It Now for only: $21.72 |
 Spellbinders Nestabilities Standard Circles SM 7 Dies $18.95 Time Remaining: 26d 3h 21m Buy It Now for only: $18.95 |
 Big Scalloped Circles Small Spellbinders Nestabilities Dies S4250 $21.55 Time Remaining: 28d 23h 2m Buy It Now for only: $21.55 |
 Spellbinders Nestabilities Dies Big Scalloped Circles Small $21.72 Time Remaining: 29d 7m Buy It Now for only: $21.72 |
Write a comment: