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Which of the following is an example of a geometrical shape that is not a polygon?
- a)Square
- b)Circle
- c)Triangle
- d)Pentagon
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is an example of a geometrical shape that is no...
Geometrical shapes:
Geometrical shapes are figures that possess specific properties and characteristics. They are usually defined by their boundaries or edges and are commonly seen in mathematics and various fields of science. Some examples of geometrical shapes include polygons, circles, triangles, and squares.
Polygons:
A polygon is a closed two-dimensional shape with straight sides. It is formed by connecting several line segments, called sides, together. All the sides of a polygon have the same length, and all the angles between the sides are also equal. Polygons can have any number of sides, ranging from three to infinity.
Explanation:
Among the given options, the shape that is not a polygon is the circle (option B). Here's an explanation of why a circle is not considered a polygon:
Definition of a polygon:
As mentioned earlier, a polygon is a closed figure with straight sides. However, a circle does not have straight sides; instead, it consists of a continuous curve. The boundary of a circle is formed by a set of points equidistant from a fixed center point.
Key Points:
- A circle is a curved shape, not a polygon.
- The boundary of a circle is continuous and consists of points equidistant from a fixed center point.
- Unlike polygons, circles do not have straight sides or angles.
- The term "polygon" specifically refers to a closed figure with straight sides connected by line segments.
Examples:
Here are examples of the other options provided and why they are considered polygons:
- Square (option A): A square is a four-sided polygon with equal sides and right angles.
- Triangle (option C): A triangle is a three-sided polygon with three angles that add up to 180 degrees.
- Pentagon (option D): A pentagon is a five-sided polygon with five angles that add up to 540 degrees.
Conclusion:
In conclusion, the circle is the only option provided that is not a polygon. It is a curved shape without straight sides or angles. The other options (square, triangle, and pentagon) are all examples of polygons with specific characteristics.
Geometrical shapes are figures that possess specific properties and characteristics. They are usually defined by their boundaries or edges and are commonly seen in mathematics and various fields of science. Some examples of geometrical shapes include polygons, circles, triangles, and squares.
Polygons:
A polygon is a closed two-dimensional shape with straight sides. It is formed by connecting several line segments, called sides, together. All the sides of a polygon have the same length, and all the angles between the sides are also equal. Polygons can have any number of sides, ranging from three to infinity.
Explanation:
Among the given options, the shape that is not a polygon is the circle (option B). Here's an explanation of why a circle is not considered a polygon:
Definition of a polygon:
As mentioned earlier, a polygon is a closed figure with straight sides. However, a circle does not have straight sides; instead, it consists of a continuous curve. The boundary of a circle is formed by a set of points equidistant from a fixed center point.
Key Points:
- A circle is a curved shape, not a polygon.
- The boundary of a circle is continuous and consists of points equidistant from a fixed center point.
- Unlike polygons, circles do not have straight sides or angles.
- The term "polygon" specifically refers to a closed figure with straight sides connected by line segments.
Examples:
Here are examples of the other options provided and why they are considered polygons:
- Square (option A): A square is a four-sided polygon with equal sides and right angles.
- Triangle (option C): A triangle is a three-sided polygon with three angles that add up to 180 degrees.
- Pentagon (option D): A pentagon is a five-sided polygon with five angles that add up to 540 degrees.
Conclusion:
In conclusion, the circle is the only option provided that is not a polygon. It is a curved shape without straight sides or angles. The other options (square, triangle, and pentagon) are all examples of polygons with specific characteristics.
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Which of the following is an example of a geometrical shape that is no...
Circle is an example of a 2-D geometrical shape that is not a polygon.
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Which of the following is an example of a geometrical shape that is not a polygon?a)Squareb)Circlec)Triangled)PentagonCorrect answer is option 'B'. Can you explain this answer?
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