UCAT Exam > UCAT Questions > A wire is bent to form a square of side 22 cm...
Start Learning for Free
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:
- a)22 cm
- b)14 cm
- c)11 cm
- d)7 cm
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wire is bent to form a square of side 22 cm. If the wire is rebent t...
Let us assume the radius of the circle be r
⇒ The perimeter of the square = 4 × 22 = 88 cm
⇒ The circumference of the circle = 2 × π × r
⇒ 88 = 2 × (22/7) × r
⇒ r = 88 × 7 / 22 × 2
⇒ r = 14 cm
∴ The required result will be 14 cm.
Most Upvoted Answer
A wire is bent to form a square of side 22 cm. If the wire is rebent t...
Let us assume the radius of the circle be r
⇒ The perimeter of the square = 4 × 22 = 88 cm
⇒ The circumference of the circle = 2 × π × r
⇒ 88 = 2 × (22/7) × r
⇒ r = 88 × 7 / 22 × 2
⇒ r = 14 cm
∴ The required result will be 14 cm.
Free Test
FREE
| Start Free Test |
Community Answer
A wire is bent to form a square of side 22 cm. If the wire is rebent t...
Given information:
- A wire is bent to form a square of side 22 cm.
To find:
- The radius of the circle formed when the wire is rebent.
Solution:
1. Find the perimeter of the square:
- The perimeter of a square is given by the formula P = 4s, where s is the length of a side.
- In this case, the length of a side is 22 cm.
- Therefore, the perimeter of the square is P = 4 * 22 = 88 cm.
2. The circumference of a circle is equal to the perimeter of the square:
- Since the wire is rebent to form a circle, the length of the wire will be equal to the circumference of the circle.
- Therefore, the circumference of the circle is 88 cm.
3. Find the radius of the circle:
- The circumference of a circle is given by the formula C = 2πr, where r is the radius.
- In this case, the circumference of the circle is 88 cm.
- Therefore, 88 = 2πr.
- Divide both sides of the equation by 2π to solve for r: r = 88 / (2π).
4. Calculate the radius using an approximation for π:
- Using an approximation for π, such as 3.14, we can calculate the radius as follows:
r = 88 / (2 * 3.14) = 14 cm.
Conclusion:
- The radius of the circle formed when the wire is rebent is 14 cm.
- Therefore, the correct answer is option B.
- A wire is bent to form a square of side 22 cm.
To find:
- The radius of the circle formed when the wire is rebent.
Solution:
1. Find the perimeter of the square:
- The perimeter of a square is given by the formula P = 4s, where s is the length of a side.
- In this case, the length of a side is 22 cm.
- Therefore, the perimeter of the square is P = 4 * 22 = 88 cm.
2. The circumference of a circle is equal to the perimeter of the square:
- Since the wire is rebent to form a circle, the length of the wire will be equal to the circumference of the circle.
- Therefore, the circumference of the circle is 88 cm.
3. Find the radius of the circle:
- The circumference of a circle is given by the formula C = 2πr, where r is the radius.
- In this case, the circumference of the circle is 88 cm.
- Therefore, 88 = 2πr.
- Divide both sides of the equation by 2π to solve for r: r = 88 / (2π).
4. Calculate the radius using an approximation for π:
- Using an approximation for π, such as 3.14, we can calculate the radius as follows:
r = 88 / (2 * 3.14) = 14 cm.
Conclusion:
- The radius of the circle formed when the wire is rebent is 14 cm.
- Therefore, the correct answer is option B.
|
Explore Courses for UCAT exam
|
|
Top Courses for UCATView all
Question Description
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
Download more important topics, notes, lectures and mock test series for UCAT Exam by signing up for free.
Here you can find the meaning of A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then its radius will be:a)22 cmb)14 cmc)11 cmd)7 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice UCAT tests.
|
|
Explore Courses for UCAT exam
|
|
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