Equation of Circles and Formas of Presentation

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JollyLouisville
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12 Questions

¿Cuál es la ecuación de la circunferencia con centro en el punto (3, -4) y radio 5?

$(x - 3)^2 + (y - 4)^2 = 25$

¿Cuál es la forma ordinaria de la ecuación de la circunferencia con centro en el origen y radio 6?

$x^2 + y^2 = 36$

Si la ecuación de una circunferencia es $(x - 1)^2 + (y + 2)^2 = 16$, ¿cuál es la coordenada del centro?

(1, -2)

Si la ecuación de una circunferencia es $x^2 + (y - 3)^2 = 9$, ¿cuál es la coordenada del centro?

(0, 3)

What is the canonical form?

The simplest form of an ordinary equation of a curve

Which type of equation does the canonical form represent?

The simplest type of equation

What does the canonical form aim to achieve?

Simplify the equation

In what way is the canonical form beneficial?

It simplifies the equation and aids in analysis

What is the canonical form?

The simplest type of equation for a curve

What type of equation does the canonical form represent?

A simple and basic equation

In what way is the canonical form beneficial?

It represents curves in a simple manner

Which statement best describes the canonical form of an equation?

It is a simple and basic form of a curve's equation

Explore the equations and forms of presentation of circles in mathematics, including the general equation for a circle with center (h,k) and radius r, as well as the specific equation for a circle with center at the origin. Understand the significance of the ordinary form of the equation in determining important characteristics of a circle.

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