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A regular hexagon is inscribed in a circle of radius 7 cm. Inside the hexagon a rectangle is inscribed such that it touches the hexagon at the midpoints of its sides. A circle, whose centre coincides with that of the outer circle, is inscribed in the rectangle and an equilateral triangle is inscribed in the smaller circle. What is the length of the side of the triangle?
  • a)
    11/2 cm
  • b)
    21/4 cm
  • c)
    21 cm
  • d)
     cm
  • e)
    11 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A regular hexagon is inscribed in a circle of radius 7 cm. Inside the ...
Radius of the circle is 7 cm. Side of the hexagon is 7 cm. Quadrilateral PQRS is drawn in the hexagon such that its vertices touch the midpoints of sides of the hexagon. 
 
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A regular hexagon is inscribed in a circle of radius 7 cm. Inside the hexagon a rectangle is inscribed such that it touches the hexagon at the midpoints of its sides. A circle, whose centre coincides with that of the outer circle, is inscribed in the rectangle and an equilateral triangle is inscribed in the smaller circle. What is the length of the side of the triangle?a)11/2 cmb)21/4 cmc)21cmd) cme)11cmCorrect answer is option 'B'. Can you explain this answer?
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A regular hexagon is inscribed in a circle of radius 7 cm. Inside the hexagon a rectangle is inscribed such that it touches the hexagon at the midpoints of its sides. A circle, whose centre coincides with that of the outer circle, is inscribed in the rectangle and an equilateral triangle is inscribed in the smaller circle. What is the length of the side of the triangle?a)11/2 cmb)21/4 cmc)21cmd) cme)11cmCorrect answer is option 'B'. 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 A regular hexagon is inscribed in a circle of radius 7 cm. Inside the hexagon a rectangle is inscribed such that it touches the hexagon at the midpoints of its sides. A circle, whose centre coincides with that of the outer circle, is inscribed in the rectangle and an equilateral triangle is inscribed in the smaller circle. What is the length of the side of the triangle?a)11/2 cmb)21/4 cmc)21cmd) cme)11cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A regular hexagon is inscribed in a circle of radius 7 cm. Inside the hexagon a rectangle is inscribed such that it touches the hexagon at the midpoints of its sides. A circle, whose centre coincides with that of the outer circle, is inscribed in the rectangle and an equilateral triangle is inscribed in the smaller circle. What is the length of the side of the triangle?a)11/2 cmb)21/4 cmc)21cmd) cme)11cmCorrect answer is option 'B'. Can you explain this answer?.
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