SOLUTION: The figure shows a sector with radius r and angle θ in radians. The total perimeter of the sector is 85 cm. (a) Express θ as a function of r. theta = (b) Expres

Algebra ->  Circles -> SOLUTION: The figure shows a sector with radius r and angle θ in radians. The total perimeter of the sector is 85 cm. (a) Express θ as a function of r. theta = (b) Expres      Log On


   



Question 958496: The figure shows a sector with radius r and angle θ in radians. The total perimeter of the sector is 85 cm.
(a) Express θ as a function of r.
theta =
(b) Express the area of the sector as a (quadratic) function of r.
area = cm2
(c) For what radius r is the area a maximum? (As usual, decimal approximations will be marked incorrect)
r = cm
(d) What is the maximum area? (Give a symbolic answer; decimal approximations will be marked incorrect)
area = cm2
For A, I got (85/r)-2
Then for B, I got (1/2)r^2(85/r)-2
But then I'm stuck.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There is no figure shown.
Can you repost with the figure?