Question

Determine the radius of a circle with centre (0,0) that passes through (8,15)?

Answer 1

`r=17`

Explanation:

So, the center is the origin, and the circle passes through `(8, 15)`.

The radius in this case would be the distance between the origin and any point on the circle, or, the distance between `(0,0), (8,15)`

Using the distance formula:

`r=sqrt((8-0)^2+(15-0)^2)`

`r=sqrt(64+225)=sqrt289`

`r=17`