Rope of 30ft arranged in shape of a sector of a circle with central angle theta radians, what is the area of the sector, A, as the function of theta.

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Answer:

The area is about 90 or so, i'm assuming...

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Step-by-step explanation:

30 = r+r+rt = r(2+t)  

r = 30/(t+2)  

Arc length = 30t/(t+2)  

A = Area = (1/2)*Arc*radius  

A = (1/2)*30t/(t+2)*30/(t+2)  

A = 90t/(t+2)/(t+2) = 90t/(t+2)^2  

A(t) = 90t/(t+2)^2