- #1
Graphing Polar Coordinates: 0 ≤ θ ≤ π and 0 ≤ r ≤ 4
- Thread starter Fatima Hasan
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SUMMARY
The discussion focuses on graphing polar coordinates defined by the inequalities 0 ≤ θ ≤ π and 0 ≤ r ≤ 4. Participants confirm that the correct representation of these polar coordinates results in a semicircle with a radius of 4, extending from the origin to the point (4, π). The conversation also addresses a similar query regarding the polar coordinates 0 ≤ θ ≤ π and r ≤ 3, which yields a semicircle with a radius of 3. Both sets of polar coordinates are validated as correct by the forum members.
PREREQUISITES- Understanding of polar coordinate systems
- Knowledge of graphing inequalities in polar coordinates
- Familiarity with the concept of angles in radians
- Basic skills in using graphing tools or software
- Research how to convert polar coordinates to Cartesian coordinates
- Learn about graphing polar equations using software like Desmos or GeoGebra
- Explore the properties of polar graphs, including symmetry and area
- Study advanced polar equations, such as rose curves and lemniscates
Students studying mathematics, educators teaching polar coordinates, and anyone interested in visualizing mathematical concepts through graphing.
- #2
- #3
mfb
Mentor
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- 14,234
Both correct.
I merged the two threads as the questions are so similar.
I merged the two threads as the questions are so similar.
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