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?

5
12
13

Answer 1

Answer:

r = 13

Step-by-step explanation:

Answer 2

The radius of a circle that its center at the origin, and passes through point (5, -12) is 13 units

How to determine the length of the radius?

The given parameters are:

• Center, (a,b) = (0,0)
• Point, (x,y) = (5,-12)

The length of the radius is calculated using:

$r = \sqrt{(x - a)^2 + (y - b)^2}$

So, we have:

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

Evaluate

$r = \sqrt{169}$

Solve the square root

r = 13

Hence, the radius is 13 units long

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ2