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anonymous
 one year ago
three circles with centers A, B and C have respective radii 50, 30 and 20 inches and are tangent to each other externally. Find the area in (in^2) of the curvilinear triangle formed by the three circles
anonymous
 one year ago
three circles with centers A, B and C have respective radii 50, 30 and 20 inches and are tangent to each other externally. Find the area in (in^2) of the curvilinear triangle formed by the three circles

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is a calculator necessary here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440340144264:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I want to use Heron's Formula and the Law of Cosines, but my gut tells me there's a simpler way haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440351019348:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can use Hero's formula to find area

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sure. But then you'll eventually have to find the area of this bit here:dw:1440340728602:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which involves subtracting the area of this part from the area obtained from Heron's formula:dw:1440340811064:dw which needs the interior angles formed from the centres of these three circles and as far as I know, can only be obtained using the law of cosines :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does the triangle have to be curved sides? the question says 'curvilinear' triangle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you teach me on using the law of cosines in the figure above

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sir, it is the triangle formed inside the three circles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Rein. I have to teach you the law of cosines? XD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I guess it can't be helped. But only for this particular case :D When you know all three sides of a triangle, there is a way to figure out the interior angles, too.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm going to need you to play along here, though :) Talking to walls makes me feel weird HAHA

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0with hero's formula you find the area of triangle PQR by cos formula you can find the angles of triangle. then find the areas of three sectors add them finally subtract from the area of triangle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0find one angle by cos formula to find other angles you can also use sin formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\cos Q=\frac{ PQ^2+QR^2PR^2 }{ 2PQ*QR }\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0if you want to double check the answer, im getting area around \(142\) : http://www.wolframalpha.com/input/?i=100*%28%5Cint_%7B3%2F2%7D%5E3++4sqrt%283%29sqrt%2825%28x4%29%5E2%29++sqrt%289x%5E2%29%2B+%5Cint_3%5E%7B33%2F7%7D+4sqrt%283%29sqrt%2825%28x4%29%5E2%29++sqrt%284%28x5%29%5E2%29%29
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