Mark Wickens

POL

Purpose

Converts rectangular coordinates (𝑥,𝑦) to polar coordinates (𝑟,𝜃).

Format

POL         ( x-coordinate , y-coordinate )
              └─────┬────┘   └─────┬────┘ 
         Numeric expression  Numeric expression

Example

POL(3, 2)

Parameters

• x-coordinate & y-coordinate: Numeric expression.

  x

  +

  y

  > 0

Explanation

1. Converts rectangular coordinates (𝑥,𝑦) to polar coordinates (𝑟,𝜃). The following relational expressions are used at this time:

   r = √(𝑥²+𝑦²) cos 𝜃 = 𝑥 / (√(𝑥²+𝑦²)) sin 𝜃 = 𝑦 / ((√(𝑥²+𝑦²))

2. The value of 𝑟 is automatically assigned to variable X, while 𝜃 is automatically assigned to variable Y.
3. The value of 𝜃 is given as follows: DEG: -180º < 𝜃 ≦ 180º RAD: -π < 𝜃 ≦ π GRA: -200 grads < 𝜃 ≦ 200 grads

Sample Program

10  A=5 : B=3
20  Z=POL(A,B)
30  PRINT X; Y

Converts rectangular coordinate point (5,3) to polar coordinates.