Question

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?

Answer 1

(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 2

13 units.

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 =
`\sqrt{(x-x')^(2)+(y-y')^(2)}`

=
`\sqrt{(0-5)^(2)+(0+12)^(2)}`

=
`√(25+144)`

=
`√(169)`

= 13 units.