Final answer:
The Cartesian equation r²=11 is already in a form that represents a circle in polar coordinates with a radius of √11, and thus the polar equation of the curve is r = √11.
Step-by-step explanation:
The student has been given the Cartesian equation r²=11 and is asked to find its polar equation equivalent. In polar coordinates, a point in the plane is described by the distance r from the origin to a point and the angle θ (theta) that line makes with the positive x-axis. The Cartesian coordinates (x, y) are related to polar coordinates through the equations x = r × cos(θ) and y = r × sin(θ).
For the given equation r²=11, the polar form is already expressed since r is the only variable and it is equal to the square root of 11. Hence, the polar equation of the curve represented by the given Cartesian equation is simply r = √11, which is the radius of a circle centered at the origin with radius √11 in a polar coordinate system.