Question

The polar equation r=8sin(4θ) graphs as a rose.What is the length of the petals of this rose?

Answer 1

Polar equations of rose curves follow the pattern:

`r=a\text{ }sin\text{ }n\theta\text{ }`

where:

a = represents the length of the petals

n = represents the number of petals.

Based on the given polar equation, the value of "a" is 8. Since "a" represents the length of the petals, then the length of the petals of this rose is 8 units.