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When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?
- a)The circle will be half as big
- b)The circle will be one-quarter as big
- c)The circle will be twice as big
- d)The circle will be three times as big
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
When drawing a circle with a compass, if you change the radius to 3 cm...
Understanding Circle Sizes
When comparing circles of different radii, it's essential to understand how the radius affects the overall size of the circle, particularly the area.
Circle Radius and Area
- The radius of a circle is the distance from the center to any point on the circumference.
- The area of a circle is calculated using the formula: Area = π × (radius)².
Comparing the Circles
1. Circle with a 6 cm radius:
- Area = π × (6)² = π × 36 = 36π cm².
2. Circle with a 3 cm radius:
- Area = π × (3)² = π × 9 = 9π cm².
Size Comparison
- To determine how these areas compare:
- The area of the 3 cm radius circle (9π cm²) is a fraction of the area of the 6 cm radius circle (36π cm²).
- Specifically, 9π cm² is one-quarter of 36π cm².
Conclusion
- Therefore, when the radius is reduced from 6 cm to 3 cm, the area of the circle will indeed be one-quarter the size of the larger circle.
- Thus, the correct answer is option b): The circle will be one-quarter as big.
This illustrates how changing the radius significantly impacts the area of a circle.
When comparing circles of different radii, it's essential to understand how the radius affects the overall size of the circle, particularly the area.
Circle Radius and Area
- The radius of a circle is the distance from the center to any point on the circumference.
- The area of a circle is calculated using the formula: Area = π × (radius)².
Comparing the Circles
1. Circle with a 6 cm radius:
- Area = π × (6)² = π × 36 = 36π cm².
2. Circle with a 3 cm radius:
- Area = π × (3)² = π × 9 = 9π cm².
Size Comparison
- To determine how these areas compare:
- The area of the 3 cm radius circle (9π cm²) is a fraction of the area of the 6 cm radius circle (36π cm²).
- Specifically, 9π cm² is one-quarter of 36π cm².
Conclusion
- Therefore, when the radius is reduced from 6 cm to 3 cm, the area of the circle will indeed be one-quarter the size of the larger circle.
- Thus, the correct answer is option b): The circle will be one-quarter as big.
This illustrates how changing the radius significantly impacts the area of a circle.
Community Answer
When drawing a circle with a compass, if you change the radius to 3 cm...
The area of a circle is one-quarter when the radius is halved.
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When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer?
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When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer?.
When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer?.
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When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of When drawing a circle with a compass, if you change the radius to 3 cm, how does the size of the circle change compared to a circle with a 6 cm radius?a)The circle will be half as bigb)The circle will be one-quarter as bigc)The circle will be twice as bigd)The circle will be three times as bigCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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