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A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road is
- a)21 m
- b)10.5 m
- c)7 m
- d)5.25 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A circular road runs round a circular ground If the difference between...
Let the outer circle be R and inner circle be r. 2πR−2πr=66 2π(R−r)=66 ⇒ 2× 22 / 7 ×(R−r) = 66 ∴ R − r = 66 × 7/22 × 1 / 2 = 21 / 2 =10.5m
Most Upvoted Answer
A circular road runs round a circular ground If the difference between...
To solve this problem, we need to consider the relationship between the circumferences of the two circles and the width of the road.
Let's assume that the radius of the inner circle is 'r'. This means that the circumference of the inner circle is given by 2πr.
Now, let's assume that the radius of the outer circle (including the width of the road) is 'R'. This means that the circumference of the outer circle is given by 2πR.
We are given that the difference between the circumferences of the outer and inner circles is 66 m. Mathematically, this can be represented as:
2πR - 2πr = 66
We can simplify this equation by factoring out 2π:
2π(R - r) = 66
Now, let's solve for the difference between the radii of the two circles (R - r):
R - r = 66 / (2π)
Simplifying further:
R - r = 33 / π
Therefore, the width of the road is equal to the difference between the radii of the two circles, which is 33 / π. To find the value in meters, we can approximate the value of π to 3.14.
Width of the road = 33 / 3.14
Calculating this value, we find that the width of the road is approximately 10.51 meters.
Therefore, the correct answer is option (B) 10.5 m.
Let's assume that the radius of the inner circle is 'r'. This means that the circumference of the inner circle is given by 2πr.
Now, let's assume that the radius of the outer circle (including the width of the road) is 'R'. This means that the circumference of the outer circle is given by 2πR.
We are given that the difference between the circumferences of the outer and inner circles is 66 m. Mathematically, this can be represented as:
2πR - 2πr = 66
We can simplify this equation by factoring out 2π:
2π(R - r) = 66
Now, let's solve for the difference between the radii of the two circles (R - r):
R - r = 66 / (2π)
Simplifying further:
R - r = 33 / π
Therefore, the width of the road is equal to the difference between the radii of the two circles, which is 33 / π. To find the value in meters, we can approximate the value of π to 3.14.
Width of the road = 33 / 3.14
Calculating this value, we find that the width of the road is approximately 10.51 meters.
Therefore, the correct answer is option (B) 10.5 m.
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A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer?.
A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular road runs round a circular ground If the difference between the circumferences of the outer circle and the inner circle is 66 m, the width of the road isa)21 mb)10.5 mc)7 md)5.25 mCorrect answer is option 'B'. Can you explain this answer?.
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