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

inside the circle

Step-by-step explanation:

we want to verify whether (-4,2) lies inside or outside or on the circle to do so recall that,

step-1: define h,k and r

the equation of circle given by

therefore from the question we obtain:

step-2: verify

In this case we can consider the second formula

the given points (-4,2) means that x is -4 and y is 2 and we have already figured out h,k and r² therefore just substitute the value of x,y,h,k and r² to the second formula

simplify parentheses:

simplify square:

simplify addition:

hence,

the point (-4, 2) lies inside the circle

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step-by-step explanation: