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Variable: GeometryUtils

const GeometryUtils: object

Defined in: src/core/services/geometry.service.ts:490

Consolidated pure geometry utilities namespace. Groups area, perimeter and volume calculations (no shared mutable state).

Type Declaration​

area​

area: object

Pure area calculations for geometric shapes. All functions are stateless — input → formatted string only.

area.useCircle()​

useCircle(radius, options?): string

Calculates the area of a circle.

Parameters​
radius​

number

The radius of the circle.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useCircle(5); // "78.54"

area.useEllipse()​

useEllipse(semiMajor, semiMinor, options?): string

Calculates the area of an ellipse.

Parameters​
semiMajor​

number

The semi-major axis length.

semiMinor​

number

The semi-minor axis length.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useEllipse(5, 3); // "47.12"

area.useHexagon()​

useHexagon(side, options?): string

Calculates the area of a regular hexagon.

Parameters​
side​

number

The side length of the hexagon.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useHexagon(3); // "23.38"

area.useParallelogram()​

useParallelogram(base, height, options?): string

Calculates the area of a parallelogram.

Parameters​
base​

number

The base length of the parallelogram.

height​

number

The height of the parallelogram.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useParallelogram(6, 4); // "24.00"

area.useRectangle()​

useRectangle(width, height, options?): string

Calculates the area of a rectangle.

Parameters​
width​

number

The width of the rectangle.

height​

number

The height of the rectangle.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useRectangle(5, 10); // "50.00"
GeometryUtils.area.useRectangle(5, 10, { unit: "m²" }); // "50.00 m²"

area.useSquare()​

useSquare(side, options?): string

Calculates the area of a square.

Parameters​
side​

number

The side length of the square.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useSquare(4); // "16.00"

area.useTrapezoid()​

useTrapezoid(parallelSide1, parallelSide2, height, options?): string

Calculates the area of a trapezoid.

Parameters​
parallelSide1​

number

The length of the first parallel side.

parallelSide2​

number

The length of the second parallel side.

height​

number

The height between parallel sides.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useTrapezoid(3, 5, 4); // "16.00"

area.useTriangle()​

useTriangle(base, height, options?): string

Calculates the area of a triangle.

Parameters​
base​

number

The base length of the triangle.

height​

number

The height of the triangle.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted area string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useTriangle(6, 4); // "12.00"

perimeter​

perimeter: object

Pure perimeter calculations for geometric shapes. All functions are stateless — input → formatted string only.

perimeter.useCircle()​

useCircle(radius, options?): string

Calculates the perimeter (circumference) of a circle.

Parameters​
radius​

number

The radius of the circle.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useCircle(5); // "31.42"

perimeter.useEllipse()​

useEllipse(semiMajor, semiMinor, options?): string

Calculates the perimeter of an ellipse using Ramanujan's approximation II.

Parameters​
semiMajor​

number

The semi-major axis length.

semiMinor​

number

The semi-minor axis length.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useEllipse(5, 3); // "25.53"

perimeter.useHexagon()​

useHexagon(side, options?): string

Calculates the perimeter of a regular hexagon.

Parameters​
side​

number

The side length of the hexagon.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useHexagon(3); // "18.00"

perimeter.useParallelogram()​

useParallelogram(side1, side2, options?): string

Calculates the perimeter of a parallelogram.

Parameters​
side1​

number

The length of the first side.

side2​

number

The length of the second side.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useParallelogram(5, 3); // "16.00"

perimeter.useRectangle()​

useRectangle(width, height, options?): string

Calculates the perimeter of a rectangle.

Parameters​
width​

number

The width of the rectangle.

height​

number

The height of the rectangle.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useRectangle(5, 10); // "30.00"
GeometryUtils.perimeter.useRectangle(5, 10, { unit: "m" }); // "30.00 m"

perimeter.useSquare()​

useSquare(side, options?): string

Calculates the perimeter of a square.

Parameters​
side​

number

The side length of the square.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useSquare(4); // "16.00"

perimeter.useTrapezoid()​

useTrapezoid(side1, side2, side3, side4, options?): string

Calculates the perimeter of a trapezoid.

Parameters​
side1​

number

The length of the first side.

side2​

number

The length of the second side.

side3​

number

The length of the third side.

side4​

number

The length of the fourth side.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useTrapezoid(3, 5, 4, 4); // "16.00"

perimeter.useTriangle()​

useTriangle(side1, side2, side3, options?): string

Calculates the perimeter of a triangle.

Parameters​
side1​

number

The length of the first side.

side2​

number

The length of the second side.

side3​

number

The length of the third side.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted perimeter string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.perimeter.useTriangle(3, 4, 5); // "12.00"

volume​

volume: object

Pure volume calculations for 3D geometric shapes. All functions are stateless — input → formatted string only.

volume.useBox()​

useBox(length, width, height, options?): string

Calculates the volume of a box (rectangular prism).

Parameters​
length​

number

The length of the box.

width​

number

The width of the box.

height​

number

The height of the box.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.useBox(2, 3, 4); // "24.00"

volume.useCone()​

useCone(radius, height, options?): string

Calculates the volume of a cone.

Parameters​
radius​

number

The radius of the cone base.

height​

number

The height of the cone.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.useCone(3, 5); // "47.12"

volume.useCube()​

useCube(side, options?): string

Calculates the volume of a cube.

Parameters​
side​

number

The side length of the cube.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.useCube(3); // "27.00"
GeometryUtils.volume.useCube(3, { unit: "m³" }); // "27.00 m³"

volume.useCylinder()​

useCylinder(radius, height, options?): string

Calculates the volume of a cylinder.

Parameters​
radius​

number

The radius of the cylinder base.

height​

number

The height of the cylinder.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.useCylinder(3, 5); // "141.37"

volume.usePyramid()​

usePyramid(baseArea, height, options?): string

Calculates the volume of a pyramid.

Parameters​
baseArea​

number

The area of the pyramid base.

height​

number

The height of the pyramid.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.usePyramid(12, 5); // "20.00"

volume.useSphere()​

useSphere(radius, options?): string

Calculates the volume of a sphere.

Parameters​
radius​

number

The radius of the sphere.

options?​

GeometryFormatOptions

Optional formatting options.

Returns​

string

The formatted volume string.

Example​
import { GeometryUtils } from "katanakit-js";

GeometryUtils.volume.useSphere(3); // "113.10"

Example​

import { GeometryUtils } from "katanakit-js";

GeometryUtils.area.useCircle(5);       // "78.54"
GeometryUtils.perimeter.useCircle(5);  // "31.42"
GeometryUtils.volume.useSphere(3);     // "113.10"