Examples on Polar Equations

Examples on Polar Equations

Maple Worksheet on graphing polar equations

Example 1-- (t is theta in the animation)

animation QT Maple Worksheet

Find the area and perimeter of the region bounded by the graph at the right, function given below.

Click on the picture to see another plot with terminal sides of angles theta drawn in blue extending a distance r from the origin (pole). Click here to see the graph on "polar graph paper".

Example 2-- (t is theta in the animation)

animation QT

Find the area and perimeter of the region bounded by the graph at the right, function given below.

Click here to see the graph on "polar graph paper".

Example 3

Find the area and perimeter of one petal of the region bounded by the graph at the right, function given below.

Excel Worksheet Calculating Some Points QTanimLg QTanimSm

Micromedia Audio/Video Including The Excel Worksheet (How To)

Notice the upper limit of integration. Graphing Calculator Video

Click on the picture to enlarge. Larger

Example 4--Surface Area

Find the area of the surface formed by revolving the circle whose equation is given in polar coordinates about the polar axis.

Example 5--Translating to Rectangular Coordinates

Translate the given polar equation into rectangular coordinates and identify the curve.

Example 6--Translating to Rectangular Coordinates

Translate the given polar equation into rectangular coordinates and identify the curve.

Example 7--Translating to Rectangular Coordinates

Translate the given polar equation into rectangular coordinates and identify the curve.

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Lane Vosbury, Mathematics, Seminole State College email: vosburyl@seminolestate.edu