Polar Coordinates and Equations

Polar Coordinates and Equations

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Easy

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Wayground Content

Used 1+ times

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15 questions

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1.

FLASHCARD QUESTION

Front

What are polar coordinates?

Back

A system of coordinates where each point is determined by a distance from a reference point (the pole) and an angle from a reference direction.

2.

FLASHCARD QUESTION

Front

What is the general form of a polar equation?

Back

r = f(θ), where r is the radius and θ is the angle.

3.

FLASHCARD QUESTION

Front

How do you convert polar coordinates to Cartesian coordinates?

Back

Use the formulas: x = r * cos(θ) and y = r * sin(θ).

4.

FLASHCARD QUESTION

Front

What is the significance of the angle θ in polar coordinates?

Back

It represents the direction of the point from the pole, measured counterclockwise from the positive x-axis.

5.

FLASHCARD QUESTION

Front

What does the equation r = a + b sin(θ) represent?

Back

It represents a polar graph that can create various shapes depending on the values of a and b.

6.

FLASHCARD QUESTION

Front

What is the polar coordinate for the point (3, 3π/4)?

Back

The point is located 3 units from the pole at an angle of 3π/4 radians.

7.

FLASHCARD QUESTION

Front

What is the polar coordinate for the point (-4, -2π/3)?

Back

The point is located 4 units from the pole at an angle of -2π/3 radians, which is equivalent to 4 units in the opposite direction.

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