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Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?
- a)154 square cm
- b)308 square cm
- c)462 square cm
- d)616 square cm
Correct answer is option 'C'. Can you explain this answer?
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Calculating the Area Between Two Circles
To find the area between two circles with the same center, we need to first calculate the areas of the two circles and then find the difference between them.
Calculating the Circumferences of the Circles
- Circumference of the smaller circle = 44 cm
- Circumference of the larger circle = 2 * Circumference of smaller circle = 2 * 44 cm = 88 cm
Calculating the Radii of the Circles
- Circumference of a circle = 2 * π * r, where r is the radius
- For the smaller circle: 44 cm = 2 * π * r
- Solving for r, we get r = 44 / (2 * π) ≈ 7 cm
- For the larger circle: 88 cm = 2 * π * R, where R is the radius of the larger circle
- Solving for R, we get R = 88 / (2 * π) ≈ 14 cm
Calculating the Areas of the Circles
- Area of the smaller circle = π * (7 cm)^2 ≈ 154 cm²
- Area of the larger circle = π * (14 cm)^2 ≈ 616 cm²
Calculating the Area Between the Circles
- Area between the two circles = Area of the larger circle - Area of the smaller circle
- Area = 616 cm² - 154 cm² = 462 cm²
Therefore, the area between the two circles is 462 square cm, which corresponds to option 'c'.
To find the area between two circles with the same center, we need to first calculate the areas of the two circles and then find the difference between them.
Calculating the Circumferences of the Circles
- Circumference of the smaller circle = 44 cm
- Circumference of the larger circle = 2 * Circumference of smaller circle = 2 * 44 cm = 88 cm
Calculating the Radii of the Circles
- Circumference of a circle = 2 * π * r, where r is the radius
- For the smaller circle: 44 cm = 2 * π * r
- Solving for r, we get r = 44 / (2 * π) ≈ 7 cm
- For the larger circle: 88 cm = 2 * π * R, where R is the radius of the larger circle
- Solving for R, we get R = 88 / (2 * π) ≈ 14 cm
Calculating the Areas of the Circles
- Area of the smaller circle = π * (7 cm)^2 ≈ 154 cm²
- Area of the larger circle = π * (14 cm)^2 ≈ 616 cm²
Calculating the Area Between the Circles
- Area between the two circles = Area of the larger circle - Area of the smaller circle
- Area = 616 cm² - 154 cm² = 462 cm²
Therefore, the area between the two circles is 462 square cm, which corresponds to option 'c'.
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Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer?
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Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer?.
Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer?.
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Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?a)154 square cmb)308 square cmc)462 square cmd)616 square cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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