Question

A circle centered at the origin contains the point

Answer 1

Answer:

No, the distance from the center to the point  (8, 17) is not the same as the radius.

Explanation:

The radius of the circle is 9 units. The standard equation is:

$x^{2} + y ^{2} = 81$

The distance of the point from origin is:

$d = \sqrt{(8-0)^{2}+(17-0)^{2}}$

$d \approx 18.788$.

Hence, the distance from the center to the point (8,17) is not the same as the radius.