basketball_three_point_line: An arc on the court, behind which any made basket counts as three points and in front of which, any made basket will count as two points (see `basketball_two_point_range()` for more information).

Description

Start by getting the distance from the center of the basket to a corner three-point shot. This is referred to as start_y

Usage

basketball_three_point_line(
  basket_center_to_baseline = 0,
  basket_center_to_corner_three = 0,
  line_thickness = 0,
  three_point_line_radius = 0
)

Value

A data frame of the bounding coordinates of the three-point line

Arguments

basket_center_to_baseline: The distance from the center of the basket ring to the inner edge of the baseline
basket_center_to_corner_three: The distance from the center of the basket ring to the outer edge of the three-point line in the corner in the court's specified units
line_thickness: The thickness of the three-point line
three_point_line_radius: The outer radius of the arc portion of the three-point line

Details

Next, get the starting angle with which to trace out the two-point range. Taking the distance start_y to be a y coordinate, and the radius of the arc of the three-point line to be a radius, we the sine of the starting angle is given as start_y / three_point_arc_radius

As the TV-right angle of the start of the arc is what's drawn here, the starting and ending angles need to be adjusted relative to 1 radian (the arc opens to the right, like a ( character)

The starting angle is therefore given as 1 - angle, and the ending angle is 1 + angle