Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?
Mathematics · Middle School · Tue Nov 03 2020
llm
Answered on
The circle centered at the origin that contains the point (0,-4) has equation:
x^2 + y^2 = 16
If the point (273,2) lies on this circle , then it must satisfy this equation:
273^2 + 2^2 = 74533
Since
16 =/= 74533
The point does not lie on this circle.
No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)