Railways Exam > Railways Questions > A circle and a rectangle have same perimeter....
Start Learning for Free
A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.
- a)88cm2
- b)154cm2
- c)125cm2
- d)616cm2
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A circle and a rectangle have same perimeter. The side of rectangle ar...
Perimeter of circle = Perimeter of rectangle
i.e., 2πr = 2*(l + b)
2πr = 2*(18 + 26)
2 * 22/7 * r = 88
=> r = 14
∴ Area of circle = πr2 = π*142 = 616cm2
Most Upvoted Answer
A circle and a rectangle have same perimeter. The side of rectangle ar...
To find the area of a circle, we need to know the radius or the diameter of the circle. However, in this question, only the perimeter of the circle is given, which is the distance around the circle.
Let's assume the radius of the circle is 'r'. The perimeter of the circle is given as the same as the perimeter of the rectangle, which is 2*(length + width). Therefore, we can write the equation as:
2*(18 + 26) = 2*pi*r
Simplifying this equation, we get:
44 = pi*r
Now, we can solve for the radius 'r':
r = 44/pi
To find the area of the circle, we use the formula A = pi*r^2:
A = pi*(44/pi)^2
A = pi*(44^2/pi^2)
A = 44^2/pi
Now, we need to approximate the value of pi to calculate the area.
Pi is an irrational number and is approximately equal to 3.14. Therefore, substituting the value of pi, we get:
A ≈ 44^2/3.14
A ≈ 616
So, the area of the circle is approximately 616 cm^2.
Therefore, the correct answer is option 'D' - 616 cm^2.
Let's assume the radius of the circle is 'r'. The perimeter of the circle is given as the same as the perimeter of the rectangle, which is 2*(length + width). Therefore, we can write the equation as:
2*(18 + 26) = 2*pi*r
Simplifying this equation, we get:
44 = pi*r
Now, we can solve for the radius 'r':
r = 44/pi
To find the area of the circle, we use the formula A = pi*r^2:
A = pi*(44/pi)^2
A = pi*(44^2/pi^2)
A = 44^2/pi
Now, we need to approximate the value of pi to calculate the area.
Pi is an irrational number and is approximately equal to 3.14. Therefore, substituting the value of pi, we get:
A ≈ 44^2/3.14
A ≈ 616
So, the area of the circle is approximately 616 cm^2.
Therefore, the correct answer is option 'D' - 616 cm^2.
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
A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer?
Question Description
A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. 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 A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer?.
A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. 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 A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer?.
Solutions for A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. 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 A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circle and a rectangle have same perimeter. The side of rectangle are 18cm * 26cm. Find the area of circle.a)88cm2b)154cm2c)125cm2d)616cm2Correct answer is option 'D'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup