# Answer on Trigonometry Question for uyet

Question #21801

Three bottles of perfume come in a special gift set. Each bottle is in its own individual canister. Then the three canisters are placed in a gift box as shown.

Each canister has a radius of 5cm and all three canisters touch each other in the gift box.

What is the area of space between the canisters?

Diagram is in this link

http://www.google.ie/imgres?um=1&hl=en&sa=N&tbo=d&biw=1366&bih=635&tbm=isch&tbnid=W2qjIBvtABHitM:&imgrefurl=http://mathhelpforum.com/geometry/197044-finding-area-shaded-region-2-a.html&docid=knQgkcMTVgIm9M&imgurl=http://im17.gulfup.com/2012-04-10/1334082803751.jpg&w=251&h=242&ei=r4LsUMDcH4OHhQf7x4DwDw&zoom=1&iact=hc&vpx=747&vpy=59&dur=285&hovh=193&hovw=200&tx=116&ty=114&sig=116169741324089863201&page=3&tbnh=130&tbnw=127&start=52&ndsp=31&ved=1t:429,r:64,s:0,i:283

Each canister has a radius of 5cm and all three canisters touch each other in the gift box.

What is the area of space between the canisters?

Diagram is in this link

http://www.google.ie/imgres?um=1&hl=en&sa=N&tbo=d&biw=1366&bih=635&tbm=isch&tbnid=W2qjIBvtABHitM:&imgrefurl=http://mathhelpforum.com/geometry/197044-finding-area-shaded-region-2-a.html&docid=knQgkcMTVgIm9M&imgurl=http://im17.gulfup.com/2012-04-10/1334082803751.jpg&w=251&h=242&ei=r4LsUMDcH4OHhQf7x4DwDw&zoom=1&iact=hc&vpx=747&vpy=59&dur=285&hovh=193&hovw=200&tx=116&ty=114&sig=116169741324089863201&page=3&tbnh=130&tbnw=127&start=52&ndsp=31&ved=1t:429,r:64,s:0,i:283

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