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Area of Circles

"The area of circles is derived by dividing a circle into an infinite number of wedges formed by radii drawn from the center. When these wedges are rearranged, they form a rectangle whose height is t ...

Area of a Segment

"The area of a segment in a circle is found by first calculating the area of the sector formed by the two radii and then subtracting the area of the triangle formed by the two radii and chord (or seca ...

Area of a Sector

"A sector in a circle is the region bound by two radii and the circle. Since it is a fractional part of the circle, the area of any sector is found by multiplying the area of the circle, pi*r^2, by t ...

Arc Length

"Commonly confused with arc measure, arc length is the distance between the endpoints along the circle. Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. ...

Mass-Energy Equivalence

"Mass-energy equivalence states that mass is concentrated energy. In his theory of special relativity Einstein formulated the equation E=mc^2. There is a tremendous amount of energy in mass. A 20g mar ...

Magnetic Fields

"Magnetic fields are vector fields associated with magnetic forces. Magnetic fields are generated by Hard Ferromagnets. Unlike electric fields, magnetic fields always make closed loops and are never c ...

Applications of Linear Equations

"We often see math applied to the real world through word problems, and the applications of linear equations are seen throughout all our math courses after Algebra. To understand applications of linea ...

Magnetic Domains

"Magnetic domains are collections of magnetic fields in the same direction. They are often found in ferromagnetic materials because their atoms align with magnetic fields in a process called a ferroma ...

Antidifferentiation

"Finding the antiderivatives of a function require a little backwards thinking. Since the derivative of the wanted antiderivative is the given function, checking for correctness is easy. You just take ...

Lorentz Force

"Lorentz force is the force on charge in electromagnetic field. Lorentz force is determined by the formula F = qv x B, in which q is the charge, v is the velocity, and B is the magnetic field density. ...

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