Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Given equation of the Circle is ,

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle.