Railways Exam > Railways Questions > The total area of a circle and a square is e...
Start Learning for Free
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?
- a)360 cm
- b)380 cm
- c)270 cm
- d)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The total area of a circle and a square is equal to 5450 sq.cm. The d...
If the side of the square be x cm then,
View all questions of this test
= 380 cm.
Most Upvoted Answer
The total area of a circle and a square is equal to 5450 sq.cm. The d...
Total Area Calculation
The total area of the circle and the square is given as 5450 sq.cm.
Circle Area
- The diameter of the circle is 70 cm, thus the radius (r) is 35 cm (70/2).
- The area of the circle is calculated using the formula: Area = πr².
- Substituting the values: Area = π * (35)² ≈ 3.14 * 1225 ≈ 3847.5 sq.cm.
Square Area
- The area of the square can be calculated as follows:
- Total area = Area of Circle + Area of Square
- Therefore, Area of Square = Total area - Area of Circle
- Area of Square = 5450 - 3847.5 ≈ 1602.5 sq.cm.
Square's Side Length
- The area of a square is given by side².
- To find the side length (s) of the square: s² = 1602.5.
- Taking the square root, s = √1602.5 ≈ 40.01 cm.
Circumference of the Circle
- The circumference (C) of the circle is calculated using: C = 2πr.
- Substituting the radius: C = 2 * π * 35 ≈ 2 * 3.14 * 35 ≈ 219.8 cm.
Perimeter of the Square
- The perimeter (P) of the square is given by: P = 4 * s.
- Substituting the side length: P = 4 * 40.01 ≈ 160.04 cm.
Final Calculation
- Sum of the circumference of the circle and the perimeter of the square is:
- Total = Circumference + Perimeter ≈ 219.8 + 160.04 ≈ 379.84 cm.
Conclusion
The closest option is (b) 380 cm, confirming the answer.
The total area of the circle and the square is given as 5450 sq.cm.
Circle Area
- The diameter of the circle is 70 cm, thus the radius (r) is 35 cm (70/2).
- The area of the circle is calculated using the formula: Area = πr².
- Substituting the values: Area = π * (35)² ≈ 3.14 * 1225 ≈ 3847.5 sq.cm.
Square Area
- The area of the square can be calculated as follows:
- Total area = Area of Circle + Area of Square
- Therefore, Area of Square = Total area - Area of Circle
- Area of Square = 5450 - 3847.5 ≈ 1602.5 sq.cm.
Square's Side Length
- The area of a square is given by side².
- To find the side length (s) of the square: s² = 1602.5.
- Taking the square root, s = √1602.5 ≈ 40.01 cm.
Circumference of the Circle
- The circumference (C) of the circle is calculated using: C = 2πr.
- Substituting the radius: C = 2 * π * 35 ≈ 2 * 3.14 * 35 ≈ 219.8 cm.
Perimeter of the Square
- The perimeter (P) of the square is given by: P = 4 * s.
- Substituting the side length: P = 4 * 40.01 ≈ 160.04 cm.
Final Calculation
- Sum of the circumference of the circle and the perimeter of the square is:
- Total = Circumference + Perimeter ≈ 219.8 + 160.04 ≈ 379.84 cm.
Conclusion
The closest option is (b) 380 cm, confirming the answer.
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
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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 The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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 The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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 The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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 The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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 The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?a)360 cmb)380 cmc)270 cmd)Cannot be determinedCorrect 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