Utilities for drawing coordinates of known shapes

The functions computes the coordinates of common shapes such as squares triangles, rectangles and circles.

draw_circle() Draws a perfect circle with a desired radius.
draw_square() Draws a square with a desired side.
draw_rectangle() Draws a rectangle given two desired sides.
draw_trian_equi() Draws an equilateral triangle with a desired side.
draw_trian_rect() Draws a triangle rectangle given two cathetus.
draw_n_tagon() Draws polygons with n sides

Usage

draw_circle(radius = 1, n = 1000, plot = TRUE)

draw_square(side = 2, plot = TRUE)

draw_rectangle(side1 = 2, side2 = 3, plot = TRUE)

draw_trian_equi(side = 2, plot = TRUE)

draw_trian_rect(cat1 = 1, cat2 = 2, plot = TRUE)

draw_n_tagon(n, plot = TRUE)

Arguments

radius: The radius of the circle. Defaults to 1.
n: The number of sides in the n-tagon.
plot: Plots the result? Defaults to TRUE.
side: The side of the square/equilateral triangle. Defaults to 2.
side1, side2: The first and second sides of the rectangle. Defaults to 2 and 3, respectively.
cat1, cat2: The first and second cathetus of the right triangle. Defaults to 1, and 2, respectively.

Value

A data frame with the x and y coordinates

Examples

########## An example of a circle ##########
library(pliman)
radius <- 3
circ <- draw_circle(radius = radius)


# area
pi * radius ^ 2
#> [1] 28.27433
poly_area(circ)
#> [1] 28.27415

# perimeter
2 * pi * radius
#> [1] 18.84956
poly_perimeter(circ)
#> [1] 18.84952

############ An example of a square ############
side <- 2
(square <- draw_square(side = side))

#>   x y
#> 2 0 2
#> 3 2 2
#> 4 2 0
#> 5 0 0

# area
side ^ 2
#> [1] 4
poly_area(square)
#> [1] 4

# perimeter
side * 4
#> [1] 8
poly_perimeter(square)
#> [1] 6

############ An example of a rectangle ############
side1 <- 2
side2 <- 3
(rect <- draw_rectangle())

#>   x y
#> 2 0 2
#> 3 3 2
#> 4 3 0
#> 5 0 0

# area
poly_area(rect)
#> [1] 6

# perimeter
poly_perimeter(rect)
#> [1] 8
###########  An example of an equilateral triangle #########
side <- 1 # defaults
(trig <- draw_trian_equi(side = side))

#>     x         y
#> 2 1.0 0.0000000
#> 3 0.5 0.8660254
#> 4 0.0 0.0000000

### area (b*h / 2)
# height of the triangle
(h <- (side * sqrt(3)) / 2)
#> [1] 0.8660254
side * h / 2
#> [1] 0.4330127

poly_area(trig)
#> [1] 0.4330127

### perimeter (side * 3)
poly_perimeter(trig)
#> [1] 2

########### An example of a rectangle triangle ##########
cat1 <- 2
cat2 <- 3
(df <- draw_trian_rect(cat1, cat2))

#>      x y
#> [1,] 0 0
#> [2,] 3 0
#> [3,] 0 2
#> [4,] 0 0
# area
(cat1 * cat2) / 2
#> [1] 3
poly_area(df)
#> [1] 3

# perimeter
cat1 + cat2 + sqrt(cat1^2 + cat2^2)
#> [1] 8.605551
poly_perimeter(df)
#> [1] 8.605551
############ An creating shapes with n sides ############
side <- 2
(square <- draw_square(side = side))

#>   x y
#> 2 0 2
#> 3 2 2
#> 4 2 0
#> 5 0 0

# area
side ^ 2
#> [1] 4
poly_area(square)
#> [1] 4

# perimeter
side * 4
#> [1] 8
poly_perimeter(square)
#> [1] 6