Hello, damselfly!
Consider the shaded region outside the sector of a circle of radius 10 meters
and inside a right triangle. Code:
B *
|:* D
|:::*
h |:* *
|* *
| θ *
C * - - - - - * A
10
a) Write the area of the region as a function of
In right triangle
Area of
Area of sector
Therefore: .
b) What is the domain of the function?
could be any acute angle from 0° to less than 90°.
. . .
c) Find: .
Answer: Infinity . . . why?
As increases to , the radius becomes vertical.
Code:
|:::::::::|
|:::::::::|
|:::::::::|
|:::::::* * D
|:::* |
|:* |
|* |
| θ |
C * - - - - * A
10
And the area of the "triangle" becomes infinite.