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What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?
- a)Line
- b)Circle
- c)Square
- d)Triangle
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the shape of the curve drawn with a compass when the distance ...
A compass is used to draw a circle when the distance between the fixed point (center) and the pencil remains constant. This fixed distance is the radius of the circle.
Most Upvoted Answer
What is the shape of the curve drawn with a compass when the distance ...
Understanding the Compass Curve
When using a compass, the mechanism involves a fixed distance between the point (the pivot) and the pencil (the drawing end). This setup is fundamental to understanding the shape of the curve produced.
What is a Compass?
- A compass consists of two arms: one with a sharp point and the other with a pencil.
- The sharp point remains stationary while the pencil moves in a circular motion.
Fixed Distance Mechanics
- The distance between the point and the pencil is constant.
- This defines the radius of the curve being drawn.
Resulting Shape: The Circle
- As the pencil moves around the fixed point, it traces a path that is equidistant from the center (the point).
- This path is defined as a circle, where all points are the same distance from the center.
Why Other Shapes are Incorrect
- Line: A line requires infinite length without a fixed distance, which contradicts the compass mechanism.
- Square: A square involves corners and unequal distances, which a compass cannot produce with a fixed radius.
- Triangle: Like a square, a triangle has varying distances between its vertices and does not maintain a constant distance from a single point.
Conclusion
The shape produced when drawing with a compass, where the distance between the point and the pencil remains fixed, is unequivocally a circle. The compass is specifically designed for this purpose, making option 'B' the correct choice.
When using a compass, the mechanism involves a fixed distance between the point (the pivot) and the pencil (the drawing end). This setup is fundamental to understanding the shape of the curve produced.
What is a Compass?
- A compass consists of two arms: one with a sharp point and the other with a pencil.
- The sharp point remains stationary while the pencil moves in a circular motion.
Fixed Distance Mechanics
- The distance between the point and the pencil is constant.
- This defines the radius of the curve being drawn.
Resulting Shape: The Circle
- As the pencil moves around the fixed point, it traces a path that is equidistant from the center (the point).
- This path is defined as a circle, where all points are the same distance from the center.
Why Other Shapes are Incorrect
- Line: A line requires infinite length without a fixed distance, which contradicts the compass mechanism.
- Square: A square involves corners and unequal distances, which a compass cannot produce with a fixed radius.
- Triangle: Like a square, a triangle has varying distances between its vertices and does not maintain a constant distance from a single point.
Conclusion
The shape produced when drawing with a compass, where the distance between the point and the pencil remains fixed, is unequivocally a circle. The compass is specifically designed for this purpose, making option 'B' the correct choice.
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What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer?.
What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?a)Lineb)Circlec)Squared)TriangleCorrect answer is option 'B'. Can you explain this answer?.
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