10 POINTS!! Made myself broke with my last two questions!
The center of circle O is the origin. Circle O passes through the point (−5, −12). What is the length of the radius of circle O?
A. √ 17
B. 7
C. √ 119
D. 13

Respuesta :

Answer:

D

Step-by-step explanation:

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

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)

r = [tex]\sqrt{(-5-0)^2+(-12-0)^2}[/tex]

  = [tex]\sqrt{(-5)^2+(-12)^2}[/tex]

  = [tex]\sqrt{25+144}[/tex]

  = [tex]\sqrt{169}[/tex]

  = 13 → D