A point whose distance from the center of the circle is _______ than the radius, is outside the circle.
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A point whose distance from the center of the circle is _______ than the radius, is outside the circle.
Let's remember that the circle is actually the inner part of the circumference, meaning the enclosed area within the frame of the circumference.
Therefore, a point whose distance is greater than the center of the circle will necessarily be outside the circle.
greater
A point whose distance from the center of the circle is _______ than the radius, is outside the circle.
When the distance from center equals the radius, the point lies on the circle itself (the circumference). It's neither inside nor outside!
Use the distance formula: where (x₁,y₁) is the center and (x₂,y₂) is your point.
No! Radius is always a positive distance. If you get a negative value in calculations, check your work - you might have made an error.
The circumference is just the boundary (the curved line). The circle includes all points inside this boundary plus the boundary itself.
Understanding point positions relative to circles helps with coordinate geometry, finding intersections, and solving real-world problems involving circular regions and boundaries.
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