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There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).
Then,  is
  • a)
    greater than π/4 and less than 1
  • b)
    greater than 1 and less than 2
  • c)
    greater than 2
  • d)
    less than π/4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There is a circle of radius 1 cm. Each member of a sequence of regular...
The perimeter of the circle is equal to .
The perimeter of a polygon inscribing a circle is always greater than the perimeter of the circle:
L1(13) > 2π
The perimeter of a polygon inscribed in a circle is always less than the perimeter of the circle
L2(13) <  2π
Then,
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There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).Then, isa)greater than π/4 and less than 1b)greater than 1 and less than 2c)greater than 2d)less than π/4Correct answer is option 'C'. Can you explain this answer?
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There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).Then, isa)greater than π/4 and less than 1b)greater than 1 and less than 2c)greater than 2d)less than π/4Correct answer is option 'C'. 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 There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).Then, isa)greater than π/4 and less than 1b)greater than 1 and less than 2c)greater than 2d)less than π/4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).Then, isa)greater than π/4 and less than 1b)greater than 1 and less than 2c)greater than 2d)less than π/4Correct answer is option 'C'. Can you explain this answer?.
Solutions for There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, ..., where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n).Then, isa)greater than π/4 and less than 1b)greater than 1 and less than 2c)greater than 2d)less than π/4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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