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In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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In a circle, two parallel chords on the same side of a diameter have l...
Given that two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm.
In the diagram we can see that AB = 6 cm, CD = 4 cm and MN = 1 cm.
We can see that M and N are the mid points of AB and CD respectively.
AM = 3 cm and CD = 2 cm. Let 'OM' be x cm.
In right angle triangle AMO,
In right angle triangle CNO,
We know that both AO and CO are the radius of the circle. Hence AO = CO
Therefore, we can equate equation (1) and (2)
Therefore, the radius of the circle
Hence, option A is the correct answer.
In the diagram we can see that AB = 6 cm, CD = 4 cm and MN = 1 cm.
We can see that M and N are the mid points of AB and CD respectively.
AM = 3 cm and CD = 2 cm. Let 'OM' be x cm.
In right angle triangle AMO,
In right angle triangle CNO,
We know that both AO and CO are the radius of the circle. Hence AO = CO
Therefore, we can equate equation (1) and (2)
Therefore, the radius of the circle
Hence, option A is the correct answer.
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In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
Solutions for In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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