4
practice testMultiple Choice

Practice Test

Question 4 • Precalculus

Consider the polar curve r is equal to 4 sine 2 theta What is the length of each petal, and how many petals does the graph have?

Answer
A
The length of each petal is 4 , and the number of petals is 4 .
B
The length of each petal is 4 , and the number of petals is 2 .
C
The length of each petal is 2 , and the number of petals is 4 .
D
The length of each petal is 2 , and the number of petals is 2 .

Explanation

For a rose curve r = a sin(nθ), the maximum distance from the pole to the tip of a petal is |a|. Here, |a| = 4, so each petal has length 4. Because n = 2 is even, the graph has 2n = 4 petals. Thus, the correct choice is “The length of each petal is 4, and the number of petals is 4.”

AI-written and checked against the verified answer.

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