Consider the equation r = 5 sin(theta). Use the drop-down boxes to complete the sentences.
The graph is a
The graph is symmetric with respect to the polar axis
The greatest distance between any two points on the graph is 5 units.
It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.
The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.
