Class 7 Exam > Class 7 Questions > A wire bent into a circle with radius 42 cm i...
Start Learning for Free
A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square?
Most Upvoted Answer
A wire bent into a circle with radius 42 cm is again bent into a squar...
Proportion of Regions Enclosed by the Circle and Square:
To find the proportion of the regions enclosed by the circle and the square, we need to compare the areas of the two shapes. Let's break down the process step by step:
Step 1: Calculate the Area of the Circle:
- The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
- In this case, the radius is 42 cm, so the area of the circle is A = π(42)^2.
- Calculating this gives us the area of the circle.
Step 2: Calculate the Perimeter of the Square:
- Since the wire is bent into a square, the perimeter of the square will be the same as the circumference of the circle.
- The formula for the circumference of a circle is C = 2πr. So, the perimeter of the square is equal to the circumference of the circle.
- Calculate the perimeter of the square using the given radius.
Step 3: Calculate the Area of the Square:
- To find the area of the square, use the formula A = side^2, where the side length is equal to the perimeter divided by 4 (since a square has 4 equal sides).
- Calculate the area of the square using the side length obtained from the perimeter calculation.
Step 4: Find the Proportion of the Areas:
- Once you have calculated the areas of the circle and the square, compare the two values to find the proportion.
- Divide the area of the circle by the area of the square to determine the proportion of the regions enclosed by the two shapes.
By following these steps and calculations, you can determine the proportion of the regions enclosed by the circle and the square created from the wire.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Top Courses for Class 7View all
A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square?
Question Description
A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square?.
A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square?.
Solutions for A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? defined & explained in the simplest way possible. Besides giving the explanation of
A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square?, a detailed solution for A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? has been provided alongside types of A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? theory, EduRev gives you an
ample number of questions to practice A wire bent into a circle with radius 42 cm is again bent into a square. Find the proportion of the regions enclosed by the circle and the square? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 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