Question

(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?

Answer 1

(13.4, - 2.6)

Radius: 10

Explanation:

Answer 2

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

Explanation:

Circle:

• The diameter of a circle is 2 times of its radius.
• The area of a circle is
  `\pi r^2`, where is the radius of the circle.

• The circumference of a circle is
  `2\pi r`, where r is radius of the circle.

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

`(x-\alpha)^2+(y-\beta)^2= r^2`

where
`(\alpha, \beta)` is the center of the circle and r is the radius of the circle.

Given equation of circle is

`(x-13.4)^2+(y+2.6)^2=100`

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

The radius of the given circle is
`√(100)` units=10 units.