Quadrilateral Calculator 1.0

The Quadrilateral Calculator is a specialized tool designed to compute both the area and perimeter of various types of quadrilaterals with efficiency and precision. It serves as an invaluable resource for assessing land area or determining approximate square footage for irregularly shaped spaces, such as storage closets.

Features:

• Calculates the area and perimeter of a quadrilateral using four sides and two opposite angles.
• Determines the area and perimeter when provided with four sides and two diagonals.
• Supports calculations for a quadrilateral inscribed within a circle, utilizing four sides.
• Provides real-time results with instantaneous calculations.
• Includes reference images to facilitate user understanding.
• Results can easily be copied for use in other applications.

In Euclidean geometry, a quadrilateral is defined as a polygon with four edges (or sides) and four vertices (corners). It is also referred to as a quadrangle or tetragon for consistency with other polygon naming conventions such as pentagon (5-sided) and hexagon (6-sided).

Quadrilaterals are classified as either simple (not self-intersecting) or complex (self-intersecting), with simple quadrilaterals further categorized as convex or concave. The calculator adeptly handles various formulas related to quadrilaterals, including:

• The area calculated using Bretschneider's formula for cases involving four sides and two opposite angles.
• The non-trigonometric Bretschneider's formula applicable to four sides and two diagonals.
• Brahmagupta's formula, which applies to cyclic quadrilaterals where the sum of two opposite angles equals 180 degrees.

This tool stands out as an essential aid for anyone needing accurate measurements in geometry or architectural applications.