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Which is the correct definition of a circle?
- a)set of points on a flat surface with every point equidistant from a given point called the center
- b)a line segment connecting any two points on a circle
- c)a line segment that extends between the center and the circle
- d)a special chord that goes through the center of a circle
Correct answer is option 'A'. Can you explain this answer?
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Which is the correct definition of a circle?a)set of points on a flat ...
A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
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Which is the correct definition of a circle?a)set of points on a flat ...
The correct definition of a circle is:
A circle is a set of points on a flat surface that are equidistant from a given point called the center.
Explanation:
A circle is a fundamental geometric shape that is defined by its unique properties. It is a closed curve that consists of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius.
Key Points:
1. Set of Points: A circle is a collection of an infinite number of points that lie on a flat surface.
2. Equidistant: Every point on the circle is the same distance from the center. This means that if you measure the distance from any point on the circle to the center with a ruler, it will be the same as the distance from any other point on the circle to the center.
3. Center: The center of a circle is a fixed point that serves as a reference point for all other points on the circle. It is located in the middle of the circle and is equidistant from all points on the circumference.
4. Radius: The radius of a circle is the distance from the center to any point on the circle. It is represented by the symbol "r" and is typically measured in units of length, such as centimeters or inches.
5. Circumference: The circumference of a circle is the distance around the outer edge or boundary of the circle. It is calculated using the formula C = 2πr, where "C" represents the circumference and "π" (pi) is a mathematical constant approximately equal to 3.14159.
6. Diameter: The diameter of a circle is a line segment that passes through the center and connects two points on the circumference. It is twice the length of the radius and is represented by the symbol "d". The formula for calculating the diameter is d = 2r.
In conclusion, a circle can be defined as a set of points on a flat surface that are equidistant from a given point called the center. It is a fundamental geometric shape with various properties that are widely used in mathematics and everyday life.
A circle is a set of points on a flat surface that are equidistant from a given point called the center.
Explanation:
A circle is a fundamental geometric shape that is defined by its unique properties. It is a closed curve that consists of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius.
Key Points:
1. Set of Points: A circle is a collection of an infinite number of points that lie on a flat surface.
2. Equidistant: Every point on the circle is the same distance from the center. This means that if you measure the distance from any point on the circle to the center with a ruler, it will be the same as the distance from any other point on the circle to the center.
3. Center: The center of a circle is a fixed point that serves as a reference point for all other points on the circle. It is located in the middle of the circle and is equidistant from all points on the circumference.
4. Radius: The radius of a circle is the distance from the center to any point on the circle. It is represented by the symbol "r" and is typically measured in units of length, such as centimeters or inches.
5. Circumference: The circumference of a circle is the distance around the outer edge or boundary of the circle. It is calculated using the formula C = 2πr, where "C" represents the circumference and "π" (pi) is a mathematical constant approximately equal to 3.14159.
6. Diameter: The diameter of a circle is a line segment that passes through the center and connects two points on the circumference. It is twice the length of the radius and is represented by the symbol "d". The formula for calculating the diameter is d = 2r.
In conclusion, a circle can be defined as a set of points on a flat surface that are equidistant from a given point called the center. It is a fundamental geometric shape with various properties that are widely used in mathematics and everyday life.
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Which is the correct definition of a circle?a)set of points on a flat surface with every point equidistant from a given point called the centerb)a line segment connecting any two points on a circlec)a line segment that extends between the center and the circled)a special chord that goes through the center of a circleCorrect answer is option 'A'. Can you explain this answer?
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