Geometry
Geometry
Level
pending
In an xy coordinate system,which point lies in the interior of a circle with center (0,0) and radius 4?
(0,4)
(1,-4)
(-2,-3)
(3,3)
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1 solution
For a circle of radius r centered at the origin, a point ( x , y ) will lie inside the circle if x 2 + y 2 < r 2 . For the given points, the only point that satisfies this relation is ( − 2 , − 3 ) :
( − 2 ) 2 + ( − 3 ) 2 = 1 3 4 2 = 1 6 1 3 < 1 6