what is the length of the petals on the rose curve represented by the equation r=4 cos 10 theta?
The length of the petals on the rose curve represented by the equation r=4 cos 10 theta is 0.8 units.
Here's the reasoning:
The general formula for the length of a petal on a rose curve r = a sin (nθ) or r = a cos (nθ) is given by:
length of petal = |(2πa)/n|
In this case, the equation given is r = 4 cos 10θ, which represents a rose curve with 10 petals. Therefore, we can calculate the length of each petal as:
length of petal = |(2πa)/n| = |(2π * 4)/(10)| = 0.8 units
So the length of the petals on the rose curve represented by r = 4 cos 10θ is 0.8 units.