Question

A circle is centered at (0,0), and has a radius of 6.164414002968976. Where does the point K(6,1) lie?

Answer 1

Answer:

Inside the circle

Step-by-step explanation:

Using this formula would find the distance from a given point to (0,0).

$d=\sqrt{x^{2}+y^{2} }$

So,  $d=\sqrt{6^{2} +1^{2} }$

      d=$\sqrt{37}$

using a calculator, gives:  6.083 (to 3 decimal places).  Since this distance is less than the given radius of the circle given, it lies in the interior of the circle.