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Core Geometry is a mathematical application which aims to solve geometrical problems quickly and reliably. Simply input the known values into the fields correlating to the 2D and 3D diagrams provided for each problem.

Parallelogram

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are of equal measure.

• Diagonal of a Rectangle
• Diagonal of a Square
• Surface Area of a Parallelogram
• Surface Area of a Rectangle
• Surface Area of a Square
• Perimeter of a Parallelogram
• Perimeter of a Square
• Volume of a Cube

Triangle

Any three points, when non-collinear, determine a unique triangle and a unique plane. A triangle has three sides and three angles. The three angles always add to 180°.

• Surface Area of a Triangle
• Surface Area - Heron's Formula
• Perimeter of a Triangle

Circle

A circle is the set of all points in a plane that are at a given distance from a given point. It is the curve traced out by a point that moves so that its distance from a given point is constant.

• Surface Area of a Circle
• Area of a Sector of a Circle
• Curved Surface Area of a Sphere
• Perimeter of a Circle
• Volume of a Sphere

Polygon

A polygon is a plane 2D shape that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These segments are called its sides.

• Surface Area (Apothem - Perimeter)
• Surface Area (Apothem - Number of Sides)
• Surface Area (Radius - Number of Sides)
• Surface Area (Length of a Side - Number of Sides)
• Perimeterof a Canonical Polygon

Trapezium

A convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.

• Surface Area of a Trapezium
• Perimeter of a Trapezium

Rhombus

A rhombus is a simple quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

• Surface Area (Side - Height)
• Surface Area (Diagonals)
• Surface Area (Angle)
• Perimeter of Rhombus

Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

• Slant Height of a Cone
• Total Surface Area (Radius - Height)
• Total Surface Area (Radius - Slant Height)
• Curved Surface Area (Radius - Slant Height)
• Curved Surface Area (Radius - Height)
• Volume of a Cone

Cylinder

A cylinder is one of the most basic curvilinear geometric shapes whose surface is formed by the points at a fixed distance from a given straight line, the axis of the cylinder.

• Curved Surface Area of a Cylinder
• Total Surface Area of a Cylinder
• Volume of a Cylinder

Ellipse

An ellipse is a curve on a plane that surrounds two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

• Surface Area of Ellipse
• Perimeter of Ellipse
• Volume of Ellipsoid

Analytical Geometry

Analytic geometry is the study of geometry using a coordinate system. It is frequently used in physics and engineering, and is the foundation of most modern fields of geometry.

• Distance Between 2 points (x,y)
• Distance Between 2 points (x,y,z)
• Slope of a Line