UCAT Exam > UCAT Questions > A circular pond has an area equal to 616 m2. ...
Start Learning for Free
A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?
- a)454 sq. m
- b)462 sq. m
- c)532 sq. m
- d)564 sq. M
- e)Not Attempted
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A circular pond has an area equal to 616 m2. A circular stage is made ...
Let the radius of the pond be R metres.
Then, πR2 = 616 → R2 = 616 × 7 / 22 = 196 → R = 14 m.
Radius of the stage = (14 / 2) m = 7 m.
Area where water is present
= π (142 - 72) = (22/7 × 21×7) m2
= 462 m2.
= 462 m2.
Most Upvoted Answer
A circular pond has an area equal to 616 m2. A circular stage is made ...
Let the radius of the pond be R metres.
Then, πR2 = 616 → R2 = 616 × 7 / 22 = 196 → R = 14 m.
Radius of the stage = (14 / 2) m = 7 m.
Area where water is present
= π (142 - 72) = (22/7 × 21×7) m2
= 462 m2.
= 462 m2.
Free Test
FREE
| Start Free Test |
Community Answer
A circular pond has an area equal to 616 m2. A circular stage is made ...
Given information:
- The area of the circular pond is 616 m².
- The radius of the circular stage is half the radius of the pond.
To find: The area where water is present.
Solution:
1. Calculate the radius of the pond:
- The area of a circle is given by the formula A = πr², where A is the area and r is the radius.
- Given that the area of the pond is 616 m², we can rearrange the formula to solve for the radius: r = √(A/π).
- Substituting the given area, we have r = √(616/π).
- Evaluating this, we find that the radius of the pond is approximately 14 m.
2. Calculate the radius of the stage:
- The radius of the stage is half the radius of the pond.
- Therefore, the radius of the stage is 14/2 = 7 m.
3. Calculate the area of the stage:
- The area of a circle is given by the formula A = πr², where A is the area and r is the radius.
- Substituting the given radius, we have A = π(7)².
- Evaluating this, we find that the area of the stage is approximately 154 m².
4. Calculate the area where water is present:
- The area where water is present is equal to the area of the pond minus the area of the stage.
- Substituting the given areas, we have area of water = 616 - 154.
- Evaluating this, we find that the area where water is present is 462 m².
Therefore, the correct answer is option B) 462 sq. m.
- The area of the circular pond is 616 m².
- The radius of the circular stage is half the radius of the pond.
To find: The area where water is present.
Solution:
1. Calculate the radius of the pond:
- The area of a circle is given by the formula A = πr², where A is the area and r is the radius.
- Given that the area of the pond is 616 m², we can rearrange the formula to solve for the radius: r = √(A/π).
- Substituting the given area, we have r = √(616/π).
- Evaluating this, we find that the radius of the pond is approximately 14 m.
2. Calculate the radius of the stage:
- The radius of the stage is half the radius of the pond.
- Therefore, the radius of the stage is 14/2 = 7 m.
3. Calculate the area of the stage:
- The area of a circle is given by the formula A = πr², where A is the area and r is the radius.
- Substituting the given radius, we have A = π(7)².
- Evaluating this, we find that the area of the stage is approximately 154 m².
4. Calculate the area where water is present:
- The area where water is present is equal to the area of the pond minus the area of the stage.
- Substituting the given areas, we have area of water = 616 - 154.
- Evaluating this, we find that the area where water is present is 462 m².
Therefore, the correct answer is option B) 462 sq. m.
|
Explore Courses for UCAT exam
|
|
Top Courses for UCATView all
Question Description
A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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 circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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 circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer?.
A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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 circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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 circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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 circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circular pond has an area equal to 616 m2. A circular stage is made at the centre of the pond whose radius is equal to half the radius of the pond. What is the area where water is present?a)454 sq. mb)462 sq. mc)532 sq. md)564 sq. Me)Not AttemptedCorrect 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