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(x-13.4)^{2}+(y+2.6)^{2} = 100(x−13.4) 2 +(y+2.6) 2 =100left parenthesis, x, minus, 13, point, 4, right parenthesis, squared, plus, left parenthesis, y, plus, 2, point, 6, right parenthesis, squared, equals, 100 What is its center?

Respuesta :

Answer:

The center of the circle is (13.4, - 2.6).

Step-by-step explanation:

Circle:

  • The diameter of a circle is 2 times of its radius.
  • The area of a circle is [tex]\pi r^2[/tex], where is the radius of the circle.
  • The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.

We know that,the equation of circle is in the form

[tex](x-\alpha)^2+(y-\beta)^2= r^2[/tex]

where [tex](\alpha, \beta)[/tex] is the center of the circle and r is the radius of the circle.

Given equation of circle is

[tex](x-13.4)^2+(y+2.6)^2=100[/tex]

The center of the circle is (13.4, - 2.6).

The radius of the given circle is [tex]\sqrt{100}[/tex] units=10 units.

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