Railways Exam > Railways Questions > Area of circle is equal to the area of a rec...
Start Learning for Free
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?
- a)14 cm
- b)28 cm
- c)22 cm
- d)24 cm
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Area of circle is equal to the area of a rectangle having perimeter o...
Let breadth = x, then length
View all questions of this test
= (x + 6)
∴ 2(x + x + 6) = 100
⇒ 2x + 6 = 50
⇒ x = 22 cm
∴ breadth = x = 22 cm & length
= 22 + 6 = 28 cm
∴ Area of circle = Area of rectangle
⇒ π r2 = 22 x 28
⇒ r2 = 22×28 x 22 / 7 =7×4×7
⇒ 7 × 2 = 14 cm
∴ Diameter = 2r = 28 cm
Most Upvoted Answer
Area of circle is equal to the area of a rectangle having perimeter o...
Given information:
- Perimeter of the rectangle = 100 cm
- Length of the rectangle = Breadth + 6 cm
Let's solve step by step:
Finding the dimensions of the rectangle:
- Let the breadth of the rectangle be x cm.
- Since the length is 6 cm more than the breadth, the length = x + 6 cm.
Using the perimeter formula of a rectangle:
- Perimeter = 2(length + breadth) = 100 cm
- 2(x + x + 6) = 100
- 4x + 6 = 100
- 4x = 94
- x = 23.5 cm (breadth)
- Length = 23.5 + 6 = 29.5 cm
Finding the area of the rectangle:
- Area of the rectangle = Length * Breadth
- Area = 23.5 * 29.5 = 694.25 cm²
Area of the circle:
- Area of the circle = πr²
- Area = 694.25 cm² (equal to the area of the rectangle)
Finding the diameter of the circle:
- Since Area = πr², we know that 694.25 = πr²
- r² = 694.25 / π
- r = √(694.25 / π) = √(221) ≈ 14.87 cm
Final answer:
- Diameter of the circle = 2 * radius ≈ 2 * 14.87 ≈ 29.74 cm ≈ 28 cm (rounded off to the nearest whole number)
Therefore, the diameter of the circle is approximately 28 cm, which corresponds to option (b).
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer?
Question Description
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer?.
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup