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) (Show Source):