Area enclosed by polar graphs | |
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Description | |
Exercise Name: | Area enclosed by polar graphs |
Math Missions: | Integral calculus Math Mission |
Types of Problems: | 2 |
The Area enclosed by polar graphs exercise appears under the Integral calculus Math Mission. This exercise shows user how to find the area between two graphs on a polar graph.
Types of Problems[]
There are two types of problems in this exercise:
- Determine the area of the shaded region: The user is asked to find the area of the shaded region by taking integrals of the function.
- Determine which integral evaluates to the area of the shaded region: The user is asked to select the integral that would evaluate to the area of the shaded region.
Strategies[]
Knowledge trigonometric integrals and polar graphs are encouraged to ensure success on this exercise.
- Area of a polar graph =
- { = }
- =
- user can check their answer by evaluating the problem on a graphing calculator.
Real-life Applications[]
- Polar graphs are used for radar measures by tracking by the angle and distance from the antenna. The navigation radar shows the ship's position in the center of the display and other ships and land as distance and direction from the ship.