Question

Find the radius of the circle whose centre is (3, 2) and passes through (−5, 6).

Answer 1

Refer to the image below (it may take some time to load): •This has been calculated using distance formula.

Answer 2

Answer:

$4\sqrt{5} units$

Step-by-step explanation:

We know that the distance of any point on the circumference of a circle from its center is the same and it is the radius of the circle.

Now, the center of a given circle is (3,2) and the circle passes through (-5,6) point.  

Hence, the point (-5,6) is on the circumference of the given circle.

Therefore, the radius of the circle is = $\sqrt{(3+5)^{2}+(2-6)^{2}  } =\sqrt{80} =4\sqrt{5} units$ (Answer)