Class 6 Exam > Class 6 Questions > Diameter of a circle isa)Equal to radiusb)Hal...
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Diameter of a circle is
- a)Equal to radius
- b)Half of radius
- c)Thrice the radius
- d)Twice the radius
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the r...
Diameter of a circle is twice the radius of the circle. D = 2 × r.
This question is part of UPSC exam. View all Class 6 courses
Most Upvoted Answer
Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the r...
**Explanation:**
To understand why the diameter of a circle is twice the radius, we need to understand what the terms "diameter" and "radius" mean in relation to a circle.
**Diameter:**
The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the circumference. It is the longest chord of the circle.
**Radius:**
The radius of a circle is a straight line segment that connects the center of the circle to any point on the circumference. It is half the length of the diameter.
Now, let's compare the diameter and the radius:
**Statement: The diameter of a circle is twice the radius.**
To prove this statement, we can use the formula for finding the circumference of a circle:
**Circumference (C) = 2 * pi * r**
where "r" represents the radius of the circle.
If we substitute the value of the diameter (d) in the formula, we get:
**C = pi * d**
Since the circumference of a circle is the distance around the circle, it is equal to the length of the diameter.
So, from the formula, we can conclude that the diameter (d) is equal to the radius (r) multiplied by 2.
**Therefore, the correct answer is option 'D': Twice the radius.**
In summary, the diameter of a circle is always twice the length of the radius. This relationship is consistent for all circles, regardless of their size or position.
To understand why the diameter of a circle is twice the radius, we need to understand what the terms "diameter" and "radius" mean in relation to a circle.
**Diameter:**
The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the circumference. It is the longest chord of the circle.
**Radius:**
The radius of a circle is a straight line segment that connects the center of the circle to any point on the circumference. It is half the length of the diameter.
Now, let's compare the diameter and the radius:
**Statement: The diameter of a circle is twice the radius.**
To prove this statement, we can use the formula for finding the circumference of a circle:
**Circumference (C) = 2 * pi * r**
where "r" represents the radius of the circle.
If we substitute the value of the diameter (d) in the formula, we get:
**C = pi * d**
Since the circumference of a circle is the distance around the circle, it is equal to the length of the diameter.
So, from the formula, we can conclude that the diameter (d) is equal to the radius (r) multiplied by 2.
**Therefore, the correct answer is option 'D': Twice the radius.**
In summary, the diameter of a circle is always twice the length of the radius. This relationship is consistent for all circles, regardless of their size or position.
Community Answer
Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the r...
Answer is option (d) Twice the Radius
The
diameter of a circle
is a line that passes through the center and meets the circumference at opposite ends. It is twice as long as the radius of the circle. In other words, the
diameter of a circle
is the line that passes through the center and divides the circle into two equal parts.
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Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. Can you explain this answer?
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Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. 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 Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. 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 Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. Can you explain this answer?.
Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. 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 Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. 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 Diameter of a circle isa)Equal to radiusb)Half of radiusc)Thrice the radiusd)Twice the radiusCorrect answer is option 'D'. Can you explain this answer?.
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