MathsTorus – Explanation, Equation, Examples, and FAQs

Torus – Explanation, Equation, Examples, and FAQs

What is Torus?

A torus is a doughnut-shaped surface. It can be created by taking a strip of paper, twisting it once, and taping the ends together. If you then cut out the middle of the strip, you will be left with a torus.

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    Torus Equation

    A torus is a type of surface that is created by revolving a circle around an axis that is perpendicular to the circle. The equation for a torus is x^2 + y^2 = r^2, where r is the radius of the circle.

    The Three Types of a Torus, Known as Standard Tori are Possible, Depending on the Relative Size of a and c.

    There are three types of a torus, known as standard tori, possible, depending on the relative size of a and c. If a is much larger than c, the resulting surface is a standard torus. If a is about the same size as c, the surface is a saddle torus. If a is much smaller than c, the surface is a horn torus.

    Surface Area of Torus

    The surface area of a torus is the sum of the areas of the two circles that make up its surface. The area of each circle is πr2, where r is the radius of the circle. So the surface area of a torus is πr2 + πr2 = 2πr2.

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