Polar Co-ordinates Yr2 Flashcards
1
Q
A
2
Q
What are the main substitutes for x, y, Theta and r for converting between Cartesian and polar?
A
3
Q
Convert these polar equations into Cartesian
A
4
Q
Draw the following curves:
A
5
Q
Sketch the limaçon
A
6
Q
What happens to the shape of r= a+bcos(ø) as a increases?
A
Becomes more circle like
7
Q
What is the shape of the curve r = a + b cos(ø) where a = b ?
A
Becomes a perfect heart shape with the dimple at the origin
Cardioid r= a(1+ cos(ø))
8
Q
Draw the general shape of r= a(1+cos(ø))
A
9
Q
Draw
A
10
Q
What general shape do Rhodoneas take? R= acos(bø)
A
When b is even then 2b number of petals
When b is odd then b number of petals
11
Q
Draw
A
12
Q
What is the formula for the area of a polar curve?
A
13
Q
Find area
A
14
Q
Find area
A
15
Q
A
16
Q
A
17
Q
A
18
Q
A
19
Q
A
20
Q
A
21
Q
A
22
Q
A
23
Q
A
24
Q
What are the cases for the following shapes?
A
25
What’s the shape of these?
26
Find the area of inner loop of the limacon
27
28
29
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31
32
If doing complex shape then square the top and bottom function individually. Also do forget the half
