contestada

A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?

Respuesta :

mergl
(x-center)^2+(y-center)^2=r^2
x^2+y^2=r^2
(5)^2+(-12)^2=r^2
25+144=r^2
169=r^2
r=13

Answer:

13 units.

Step-by-step explanation:

A circle has center at origin and a point (5, -12) is given on the circumference.

Then we have to calculate the length of its radius formula to find the length between two points is

Distance = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

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

               = [tex]\sqrt{25+144}[/tex]

                = [tex]\sqrt{169}[/tex]

                = 13 units.