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Which shape can be described as having no corners and all points on the boundary equidistant from the center?
- a)Square
- b)Oval
- c)Triangle
- d)Circle
Correct answer is option 'D'. Can you explain this answer?
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Which shape can be described as having no corners and all points on th...
A circle is round with no corners, and all points on its boundary are equidistant from the center.
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Which shape can be described as having no corners and all points on th...
Circle
Circle is the shape that can be described as having no corners and all points on the boundary equidistant from the center. Let's break down why a circle fits this description:
No Corners:
- Unlike a square, triangle, or oval, a circle does not have any corners or angles. It has a continuous curved boundary that smoothly connects all points on the perimeter.
All Points Equidistant:
- In a circle, every point on the boundary is the same distance away from the center. This property is what makes a circle a unique shape with perfect symmetry.
Properties of a Circle:
- A circle is defined as the set of all points in a plane that are a certain distance (radius) away from a fixed point (center).
- The distance from the center to any point on the boundary is always the same, making it a shape with radial symmetry.
Conclusion:
- In conclusion, a circle is the only shape that meets the criteria of having no corners and all points on the boundary equidistant from the center. Its unique properties make it a fundamental shape in geometry and mathematics.
Circle is the shape that can be described as having no corners and all points on the boundary equidistant from the center. Let's break down why a circle fits this description:
No Corners:
- Unlike a square, triangle, or oval, a circle does not have any corners or angles. It has a continuous curved boundary that smoothly connects all points on the perimeter.
All Points Equidistant:
- In a circle, every point on the boundary is the same distance away from the center. This property is what makes a circle a unique shape with perfect symmetry.
Properties of a Circle:
- A circle is defined as the set of all points in a plane that are a certain distance (radius) away from a fixed point (center).
- The distance from the center to any point on the boundary is always the same, making it a shape with radial symmetry.
Conclusion:
- In conclusion, a circle is the only shape that meets the criteria of having no corners and all points on the boundary equidistant from the center. Its unique properties make it a fundamental shape in geometry and mathematics.
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Which shape can be described as having no corners and all points on the boundary equidistant from the center?a)Squareb)Ovalc)Triangled)CircleCorrect answer is option 'D'. Can you explain this answer?
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