Share
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Question
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
in progress
0
Mathematics
3 years
2021-08-02T10:55:27+00:00
2021-08-02T10:55:27+00:00 2 Answers
20 views
0
Answers ( )
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
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 .