Question

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.

Answer 1

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

..Good luck, I hope for the best for you....

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