Problem:
A rectangle is inscribed in a circle of diameter 33". Express P, the perimeter as a function of L, its length.
My work and answer: (I used the Pythagorean Thereom but changed A & B to W & L, as I believe the diamter of the circle would divide the rectangle in half creating two right-triangles.)
(33)^2 = (W^2) + ( L^2)
1089 + (L^2) = W^2
sqrt(1089 + (L^2)) = W
P(L) = 2L + 2(sqrt(1089 + (L^2)))
Is this correct? :?: :|
A rectangle is inscribed in a circle of diameter 33". Express P, the perimeter as a function of L, its length.
My work and answer: (I used the Pythagorean Thereom but changed A & B to W & L, as I believe the diamter of the circle would divide the rectangle in half creating two right-triangles.)
(33)^2 = (W^2) + ( L^2)
1089 + (L^2) = W^2
sqrt(1089 + (L^2)) = W
P(L) = 2L + 2(sqrt(1089 + (L^2)))
Is this correct? :?: :|