The center of Circle D is (0, 0). The circumference of the circle passes through Point E (-7, -4). Find the length of the radius of Circle D.

Respuesta :

Answer:

radius = [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The radius of the circle is the distance from the centre to a point on the circumference.

Calculate the radius using the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 7, - 4)

r = [tex]\sqrt{(-7-0)^2+(-4-0)^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]