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Perimeter of a Circle (by the radius)

A perimeter is a path that surrounds a two-dimensional shape.The perimeter of a circle or ellipse is called its circumference. A circle can be defined as ... more

Relation between the consecutive sides and the diagonals of a trapezoid

Trapezoid is a convex quadrilateral with only one pair of parallel sides. The parallel sides are called the bases of the trapezoid and the other two sides ... more

Pick's theorem

Given a simple polygon constructed on a grid of equal-distanced points (i.e., points with integer coordinates) such that all the polygon’s vertices ... more

Probability that an electron hits an ion at ionization process

Ionization is the process by which an atom or a molecule acquires a negative or positive charge by gaining or losing electrons to form ions. If an electron ... more

Diameter of a triangle's circumscribed circle (related the angles)

The circumscribed circle or circumcircle of a triangle is a circle which passes through all the vertices of the triangle. The circumcenter of a triangle ... more

Heat transfer rate for a pipe with a fluid flowing inside.

The rate of heat transfer between the bulk of the fluid inside the pipe and the pipe external surface is related to the pipe surface area, the wall ... more

Maximum contact pressure between two spheres

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertzian contact stress refers to the localized ... more

Elastic deflection at any point along the span of a uniformly loaded cantilevered beam

In engineering, deflection is the degree to which a structural element is displaced under a load. The deflection at any point along the span of a uniformly ... more

Elastic deflection to any point along the span of an end loaded cantilever beam

In engineering, deflection is the degree to which a structural element is displaced under a load. The deflection at any point along the span of an end ... more

Force exerted by stretched or contracted material

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each ... more

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