GMAT Exam > GMAT Questions > In the coordinate plane, a circle has center ...
Start Learning for Free
In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?
- a)5√2π
- b)10√2π
- c)10√3π
- d)25π
- e)50π
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the coordinate plane, a circle has center (-1, -3) and passes throu...
To find the circumference of this circle, we need its radius. And the radius is the distance from its center to any point on the circle, so the radius is the distance from (-1 ,-3) to (4,2).
This distance is computed with the distance formula, which is essentially the Pythagorean Theorem. The sides of the triangle are the x and y distances, 5 and 5, so the distance is 
The radius of the circle is 5√2, so the circumference is
The radius of the circle is 5√2, so the circumference is
The correct answer is (B).
Most Upvoted Answer
In the coordinate plane, a circle has center (-1, -3) and passes throu...
To find the circumference of a circle, we need to find its radius first. The radius can be found using the distance formula:
√((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the center (-1, -3) and the point (4, 2):
√((4 - (-1))^2 + (2 - (-3))^2)
= √((4 + 1)^2 + (2 + 3)^2)
= √(5^2 + 5^2)
= √(25 + 25)
= √50
= 5√2
The circumference of a circle is given by the formula:
C = 2πr
Plugging in the value of the radius, which is 5√2:
C = 2π(5√2)
= 10π√2
Therefore, the circumference of the circle is 10π√2.
√((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the center (-1, -3) and the point (4, 2):
√((4 - (-1))^2 + (2 - (-3))^2)
= √((4 + 1)^2 + (2 + 3)^2)
= √(5^2 + 5^2)
= √(25 + 25)
= √50
= 5√2
The circumference of a circle is given by the formula:
C = 2πr
Plugging in the value of the radius, which is 5√2:
C = 2π(5√2)
= 10π√2
Therefore, the circumference of the circle is 10π√2.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer?
Question Description
In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. 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 In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer?.
In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. 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 In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. 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 In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In the coordinate plane, a circle has center (-1, -3) and passes through the point (4,2). What is the circumference of the circle?a)5√2πb)10√2πc)10√3πd)25πe)50πCorrect answer is option 'B'. 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