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All questions of Circle for Class 6 Exam
What does the circumference of a circle represent?- a)The area within the circle
- b)The distance around the circle
- c)The radius of the circle
- d)The diameter of the circle
Correct answer is option 'B'. Can you explain this answer?
What does the circumference of a circle represent?
a)
The area within the circle
b)
The distance around the circle
c)
The radius of the circle
d)
The diameter of the circle
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Palak Nair answered |
The Circumference of a Circle
The circumference of a circle is an important concept in geometry that refers to the distance around the circle. Let’s break down the meaning and significance of this term.
Definition of Circumference
- The circumference is the total length of the boundary that encloses the circle.
- It can be thought of as the "perimeter" of the circle.
Why is it Important?
- Understanding the circumference helps in various real-life applications, such as calculating distances in circular tracks or designing circular objects.
- It is essential in fields like engineering, architecture, and even sports.
How is it Different from Other Terms?
- Area: The area refers to the space contained within the boundary of the circle, not the distance around it.
- Radius: The radius is the distance from the center of the circle to any point on its boundary. It does not measure the complete distance around.
- Diameter: The diameter is a straight line passing through the center, connecting two points on the circle's boundary. It is twice the radius but does not represent the full distance around.
Calculation of Circumference
- The circumference can be calculated using the formula: C = 2πr or C = πd, where "r" is the radius and "d" is the diameter.
- This highlights the relationship between the diameter, radius, and the constant π (pi).
In summary, the circumference of a circle is best understood as the distance around the circle, making option 'B' the correct answer. Understanding this concept lays the foundation for further studies in geometry and mathematics.
The circumference of a circle is an important concept in geometry that refers to the distance around the circle. Let’s break down the meaning and significance of this term.
Definition of Circumference
- The circumference is the total length of the boundary that encloses the circle.
- It can be thought of as the "perimeter" of the circle.
Why is it Important?
- Understanding the circumference helps in various real-life applications, such as calculating distances in circular tracks or designing circular objects.
- It is essential in fields like engineering, architecture, and even sports.
How is it Different from Other Terms?
- Area: The area refers to the space contained within the boundary of the circle, not the distance around it.
- Radius: The radius is the distance from the center of the circle to any point on its boundary. It does not measure the complete distance around.
- Diameter: The diameter is a straight line passing through the center, connecting two points on the circle's boundary. It is twice the radius but does not represent the full distance around.
Calculation of Circumference
- The circumference can be calculated using the formula: C = 2πr or C = πd, where "r" is the radius and "d" is the diameter.
- This highlights the relationship between the diameter, radius, and the constant π (pi).
In summary, the circumference of a circle is best understood as the distance around the circle, making option 'B' the correct answer. Understanding this concept lays the foundation for further studies in geometry and mathematics.
How do you construct a circle using a line segment as a diameter?- a)Draw a tangent to the circle
- b)Find the midpoint and draw a circle using it as the center
- c)Use the diameter to measure the circle
- d)Use a compass to measure the diameter
Correct answer is option 'B'. Can you explain this answer?
How do you construct a circle using a line segment as a diameter?
a)
Draw a tangent to the circle
b)
Find the midpoint and draw a circle using it as the center
c)
Use the diameter to measure the circle
d)
Use a compass to measure the diameter
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To construct a circle using a line segment as a diameter, you first find the midpoint of the segment and then use this midpoint as the center of the circle, with half the line segment's length as the radius.
What is the interior of a circle?- a)The set of all points inside the circle
- b)The boundary of the circle
- c)The radius of the circle
- d)The set of all points outside the circle
Correct answer is option 'A'. Can you explain this answer?
What is the interior of a circle?
a)
The set of all points inside the circle
b)
The boundary of the circle
c)
The radius of the circle
d)
The set of all points outside the circle
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The interior of a circle refers to all points that lie within the boundary of the circle. It is the area where any point is less than the radius from the center.
What is the relationship between a diameter and a semicircle?- a)A semicircle is larger than the diameter
- b)A diameter splits the circle into two equal halves
- c)A diameter divides the circle into two unequal parts
- d)A diameter is shorter than the radius
Correct answer is option 'B'. Can you explain this answer?
What is the relationship between a diameter and a semicircle?
a)
A semicircle is larger than the diameter
b)
A diameter splits the circle into two equal halves
c)
A diameter divides the circle into two unequal parts
d)
A diameter is shorter than the radius
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A diameter divides the circle into two equal parts, each called a semicircle. This property is fundamental in geometry as it provides a way to understand circle division.
What is a secant?- a)A part of the circumference
- b)A line that touches the circle at one point
- c)A line that intersects the circle at two distinct points
- d)A line that connects the center to the edge
Correct answer is option 'C'. Can you explain this answer?
What is a secant?
a)
A part of the circumference
b)
A line that touches the circle at one point
c)
A line that intersects the circle at two distinct points
d)
A line that connects the center to the edge
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A secant is defined as a straight line that intersects the circle at two distinct points. It is different from a tangent, which only touches the circle at one point.
What is an arc in relation to a circle?- a)A line passing through the center
- b)The area inside the circle
- c)A part of the circumference between two points
- d)A straight line between two points on the circle
Correct answer is option 'C'. Can you explain this answer?
What is an arc in relation to a circle?
a)
A line passing through the center
b)
The area inside the circle
c)
A part of the circumference between two points
d)
A straight line between two points on the circle
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An arc is defined as a portion of the circumference of the circle that lies between two specific points on the circle. It can be classified as either a minor arc or a major arc based on its length.
In the context of a circle, what does the term "exterior" refer to?- a)The set of all points outside the circle
- b)The area covered by the radius
- c)The area inside the circle
- d)The boundary of the circle
Correct answer is option 'A'. Can you explain this answer?
In the context of a circle, what does the term "exterior" refer to?
a)
The set of all points outside the circle
b)
The area covered by the radius
c)
The area inside the circle
d)
The boundary of the circle
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The exterior of a circle refers to all points that lie outside the circle. Understanding the interior and exterior helps in visualizing and solving problems related to circles.
If the radius of a circle is 5 cm, what is the diameter?- a)10 cm
- b)15 cm
- c)2.5 cm
- d)5 cm
Correct answer is option 'A'. Can you explain this answer?
If the radius of a circle is 5 cm, what is the diameter?
a)
10 cm
b)
15 cm
c)
2.5 cm
d)
5 cm
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If the radius is 5 cm, the diameter is calculated as Diameter = 2 × Radius, which equals 10 cm. This relationship is crucial for understanding circle dimensions.
What is a quadrant in terms of a circle?- a)The area inside the circle
- b)A sector formed by two radii and an arc
- c)A line segment connecting the center to the edge
- d)A quarter of the circle bounded by two perpendicular radii
Correct answer is option 'D'. Can you explain this answer?
What is a quadrant in terms of a circle?
a)
The area inside the circle
b)
A sector formed by two radii and an arc
c)
A line segment connecting the center to the edge
d)
A quarter of the circle bounded by two perpendicular radii
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A quadrant is defined as a quarter of the circle that is bounded by two perpendicular radii. It represents a significant division of the circle into equal parts.
Which of the following describes a chord?- a)A region enclosed by two radii and an arc
- b)A line that touches the circle at exactly one point
- c)A line segment connecting two points on the edge of the circle
- d)The longest line segment in a circle
Correct answer is option 'C'. Can you explain this answer?
Which of the following describes a chord?
a)
A region enclosed by two radii and an arc
b)
A line that touches the circle at exactly one point
c)
A line segment connecting two points on the edge of the circle
d)
The longest line segment in a circle
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A chord is defined as a line segment that connects any two points on the circumference of the circle. Unlike a diameter, a chord does not necessarily pass through the center.
What term describes the area enclosed by two radii and an arc of a circle?- a)Segment
- b)Chord
- c)Sector
- d)Quadrant
Correct answer is option 'C'. Can you explain this answer?
What term describes the area enclosed by two radii and an arc of a circle?
a)
Segment
b)
Chord
c)
Sector
d)
Quadrant
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The area enclosed by two radii and an arc of a circle is called a sector. Sectors can be classified as minor or major based on the size of the arc.
What is the fixed point inside a circle from which all points on the edge are equally distant called?- a)Center
- b)Diameter
- c)Radius
- d)Chord
Correct answer is option 'A'. Can you explain this answer?
What is the fixed point inside a circle from which all points on the edge are equally distant called?
a)
Center
b)
Diameter
c)
Radius
d)
Chord
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The fixed point inside a circle is known as the center. It is the point that defines the position of the circle, and every point on the circumference is at the same distance from this center.
If a point is 6 cm from the center of a circle with a radius of 5 cm, where does the point lie?- a)On the circumference
- b)At the center
- c)Exterior
- d)Interior
Correct answer is option 'C'. Can you explain this answer?
If a point is 6 cm from the center of a circle with a radius of 5 cm, where does the point lie?
a)
On the circumference
b)
At the center
c)
Exterior
d)
Interior
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A point that is 6 cm from the center of a circle with a radius of 5 cm lies in the exterior of the circle. It is important to compare the distance from the center with the radius to determine the point’s position.
What does a line segment that passes through the center of a circle represent?- a)A chord
- b)A radius
- c)A tangent
- d)A diameter
Correct answer is option 'D'. Can you explain this answer?
What does a line segment that passes through the center of a circle represent?
a)
A chord
b)
A radius
c)
A tangent
d)
A diameter
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A line segment that passes through the center of the circle is known as the diameter. It is the longest possible chord in the circle and divides it into two equal semicircles.
What is the difference between a major arc and a minor arc?- a)A major arc can only be formed by the diameter, while a minor arc cannot.
- b)A major arc is longer than half the circumference, while a minor arc is shorter than half.
- c)A major arc is always equal to the diameter, while a minor arc is less.
- d)A major arc is always larger than the radius, while a minor arc is smaller.
Correct answer is option 'B'. Can you explain this answer?
What is the difference between a major arc and a minor arc?
a)
A major arc can only be formed by the diameter, while a minor arc cannot.
b)
A major arc is longer than half the circumference, while a minor arc is shorter than half.
c)
A major arc is always equal to the diameter, while a minor arc is less.
d)
A major arc is always larger than the radius, while a minor arc is smaller.
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The difference between a major arc and a minor arc is that a major arc is longer than half the circumference of the circle, while a minor arc is shorter than half. This distinction helps in understanding the properties of arcs.
What is a tangent to a circle?- a)The longest chord in the circle
- b)A line segment connecting two points on the circle
- c)A line that intersects the circle at two points
- d)A line that touches the circle at exactly one point
Correct answer is option 'D'. Can you explain this answer?
What is a tangent to a circle?
a)
The longest chord in the circle
b)
A line segment connecting two points on the circle
c)
A line that intersects the circle at two points
d)
A line that touches the circle at exactly one point
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A tangent is a straight line that touches the circle at exactly one point, known as the point of contact. This property differentiates it from other lines that intersect the circle.
What is the distance from the center of a circle to any point on its edge called?- a)Diameter
- b)Radius
- c)Arc
- d)Chord
Correct answer is option 'B'. Can you explain this answer?
What is the distance from the center of a circle to any point on its edge called?
a)
Diameter
b)
Radius
c)
Arc
d)
Chord
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The distance from the center of a circle to any point on its edge is referred to as the radius. It is a crucial measurement as it helps define the size of the circle.
How is the diameter of a circle calculated?- a)Diameter = 2 × Radius
- b)Diameter = Radius / 2
- c)Diameter = Radius × 2
- d)Diameter = Radius + Circumference
Correct answer is option 'A'. Can you explain this answer?
How is the diameter of a circle calculated?
a)
Diameter = 2 × Radius
b)
Diameter = Radius / 2
c)
Diameter = Radius × 2
d)
Diameter = Radius + Circumference
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The diameter of a circle is calculated using the formula Diameter = 2 × Radius. This relationship shows that the diameter is twice the length of the radius.
How do you construct a circle with a given radius?- a)Connect two points on the circumference
- b)Draw a straight line through the center
- c)Use a ruler to measure the diameter
- d)Use a compass to draw a circle while keeping a fixed radius
Correct answer is option 'D'. Can you explain this answer?
How do you construct a circle with a given radius?
a)
Connect two points on the circumference
b)
Draw a straight line through the center
c)
Use a ruler to measure the diameter
d)
Use a compass to draw a circle while keeping a fixed radius
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To construct a circle with a given radius, you use a compass to draw a circle while keeping the radius fixed. This method ensures precision in the circle's dimensions.
What is the major segment of a circle?- a)The smaller part divided by a chord
- b)The part of the circle that includes the center
- c)The entire circle
- d)The larger part divided by a chord
Correct answer is option 'D'. Can you explain this answer?
What is the major segment of a circle?
a)
The smaller part divided by a chord
b)
The part of the circle that includes the center
c)
The entire circle
d)
The larger part divided by a chord
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The major segment of a circle is the larger part formed when a chord divides the circle. It comprises more than half of the circle and includes the center.
Chapter doubts & questions for Circle - Mathematics Class 6 ICSE 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Circle - Mathematics Class 6 ICSE in English & Hindi are available as part of Class 6 exam.
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Mathematics Class 6 ICSE
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