Polar Coordinates and Curves flashcards

8 practice cards drawn from the Polar Coordinates and Curves lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.

Read the Polar Coordinates and Curves lessons in full →

In terms of r and θ, x equals

r cos θ

from “Polar Coordinates”

In terms of x and y, r equals

√(x² + y²)

from “Polar Coordinates”

The cardioid r = 1 + cos θ touches the origin at θ =

π

from “Sketching Polar Curves”

The cardioid r = 1 + cos θ is largest at θ =

0

from “Sketching Polar Curves”

For r = 2 + sin θ, on which stretch of θ is r falling?

π/2 < θ < 3π/2

from “The Rate of Change of a Polar Function”

For r = 1 + cos θ, the average rate of change of r from θ = 0 to θ = π/2 is

−2/π

from “The Rate of Change of a Polar Function”

A thin polar slice is close to

a sector with its apex at the pole

from “The Area of a Polar Region”

For r = 2 between θ = 0 and θ = π/2, the area is

π

from “The Area of a Polar Region”

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