GMAT Exam > GMAT Questions > If circles x and y have the same area and cir...
Start Learning for Free
If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:
- a)16
- b)8
- c)4
- d)2
- e)1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If circles x and y have the same area and circle x has a circumference...
- Begin with the two important circle formulas.
Area = πr2
Circumference = 2πr, where r is the radius. - Since circles x and y have the same area, the length of their respective radii must be the same.
Areax = πrx2 = Areay = πry2
π(rx)2 = π(ry)2
rx2 = ry2 divide by π
rx = ry - With the information given in the question, you can write the following equation:
Circumferencex = 2πrx = 16π
2rx = 16 divide by π rx = 8 - Remembering that rx = ry, you know that ry = 8. Consequently, "half of the radius of circle y" is (1/2)(8) = 4.
Answer C is correct.
Most Upvoted Answer
If circles x and y have the same area and circle x has a circumference...
- Begin with the two important circle formulas.
Area = πr2
Circumference = 2πr, where r is the radius. - Since circles x and y have the same area, the length of their respective radii must be the same.
Areax = πrx2 = Areay = πry2
π(rx)2 = π(ry)2
rx2 = ry2 divide by π
rx = ry - With the information given in the question, you can write the following equation:
Circumferencex = 2πrx = 16π
2rx = 16 divide by π rx = 8 - Remembering that rx = ry, you know that ry = 8. Consequently, "half of the radius of circle y" is (1/2)(8) = 4.
Answer C is correct.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer?
Question Description
If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer?.
If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer?.
Solutions for If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If circles x and y have the same area and circle x has a circumference of 16π, half of the radius of circle y is:a)16b)8c)4d)2e)1Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT 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