Question

A circle centered at the origin contains the point

(0,–9). Does (8, 17) also lie on the circle? Explain.
No, the distance from the center to the point
(8, 17) is not the same as the radius.
No, the radius of 10 units is different from the
distance from the center to the point
(8, 17).
2
4
6 8
10
1
Yes, the distance from the origin to the point
(8.717) is 9 units.
Yes, the distance from the point (0, -9) to the point
(8. 17) is 9 units.

Answer 1

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

Step-by-step 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.