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Foci of Hyperbola Calculator Online

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The Foci of Hyperbola Calculator is a powerful tool designed to determine the distance from the center to each focus (c) of a hyperbola. This calculation is essential for various applications in mathematics, physics, engineering, and more. By inputting the values of 'a' and 'b', representing the distances from the center to a vertex along the transverse axis and along the conjugate axis, respectively, the calculator quickly computes the foci distance, providing users with accurate results in no time.

Formula of Foci of Hyperbola Calculator

The formula used by the Foci of Hyperbola Calculator is:

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c = √(a^2 + b^2)

Where:

  • c is the distance from the center to each focus.
  • a is the distance from the center to a vertex along the transverse axis.
  • b is the distance from the center to a vertex along the conjugate axis.

Table of General Terms

TermDefinition
HyperbolaA type of conic section characterized by two branches, each extending to infinity.
Transverse AxisThe line passing through the center and both vertices of the hyperbola.
Conjugate AxisThe line passing through the center and perpendicular to the transverse axis.
FociTwo fixed points inside the hyperbola, each equidistant from the center.

Example of Foci of Hyperbola Calculator

Let's consider an example to understand how the Foci of Hyperbola Calculator works:

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Suppose we have a hyperbola with 'a' equal to 5 units and 'b' equal to 3 units. Using the calculator, we input these values and hit the calculate button. The calculator then computes the foci distance (c) using the provided formula. In this case, the foci distance would be calculated as follows:

c = √(5^2 + 3^2) c = √(25 + 9) c = √34 c ≈ 5.83 units

So, the distance from the center to each focus of the hyperbola is approximately 5.83 units.

Most Common FAQs

Q: How do I determine the foci of a hyperbola?

A: To determine the foci of a hyperbola, you can use the Foci of Hyperbola Calculator provided above. Simply input the values of 'a' and 'b' into the calculator, and it will compute the distance from the center to each focus using the formula c = √(a^2 + b^2).

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