CAT Exam  >  CAT Questions  >  What is the area of the unshaded region in th... Start Learning for Free
What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?
  • a)
    (4π - 4√3) sq.cm
  • b)
    (6π - 6√3) sq.cm
  • c)
    (4π - 3√6) sq.cm
  • d)
    (4π - 6√3) sq.cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the area of the unshaded region in the diagram shown below if ...

AE is the shortest diagonal of the hexagon and AO= √3.
.'. AF= 2 cm. We know that the longest diagonal of the hexagon = diameter of the circle= 2(Side of the regular hexagon)
So, diameter of the circle= 4 cm. Area of the circle= π (22) = 4π sq. cm.
Also, the area of the hexagon= 6( area of an equilateral triangle with side length= side length of the hexagon).
.'. Area of the hexagon=
So, area of unshaded region= (4π - 6√3) sq.cm
View all questions of this test
Explore Courses for CAT exam

Top Courses for CAT

What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. 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 What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. 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.
Here you can find the meaning of What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What is the area of the unshaded region in the diagram shown below if the length of the shortest diagonal of the regular hexagon is 2√3 cms?a)(4π - 4√3) sq.cmb)(6π - 6√3) sq.cmc)(4π - 3√6) sq.cmd)(4π - 6√3) sq.cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

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