SSC CGL Exam  >  SSC CGL Questions  >  In a circle of radius 17 cm, two parallel cho... Start Learning for Free
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is   (SSC CGL 2nd Sit.  2013)
  • a)
    9 cm
  • b)
    7 cm
  • c)
    23 cm
  • d)
    11 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and ...

AE = 15  cm
OA = 17 cm

CF = 8 cm
OC = 17 cm

Distance between two chords = OF – OE = 15 –8 = 7 cm
Free Test
Community Answer
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and ...
Explanation:

Given:
- Radius of the circle = 17 cm
- Length of one chord = 30 cm
- Length of the other chord = 16 cm

Formula:
- In a circle, the distance between two parallel chords on the same side of the center is given by the formula:
Distance = √(4r^2 - d^2)

Calculations:
- Let the distance between the chords be d cm
- Applying the formula, we get:
d = √(4*17^2 - 30^2) = √(4*289 - 900) = √(1156 - 900) = √256 = 16 cm
d = √(4*17^2 - 16^2) = √(4*289 - 256) = √(1156 - 256) = √900 = 30 cm

Conclusion:
- The distance between the chords is 16 cm when the length of one chord is 30 cm.
- The distance between the chords is 30 cm when the length of one chord is 16 cm.
- Therefore, the correct answer is option B. 7 cm.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer?
Question Description
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is (SSC CGL 2nd Sit. 2013)a)9 cmb)7 cmc)23 cmd)11 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev