CAT Exam  >  CAT Questions  >   The perimeter of a square is equivalent to t... Start Learning for Free
The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.
  • a)
    23.57 cm
  • b)
    47.47 cm
  • c)
    42.46 cm
  • d)
    38.57 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The perimeter of a square is equivalent to twice the perimeter of a r...
Given
Length of perimeter =8 cm
Breadth of perimeter =7 cm
We know that, Perimeter of the square = 4a
∴ Perimeter = 2(l+b)=2 ✕ (8+7)=30 cm
According to the question,
The perimeter of a square is equivalent to twice the perimeter of a rectangle.
Therefore, ✕4a=2✕30 cm
⇒ a=15 cm
Now, diameter of the circle = 15 cm
∴ Radius, r=d/2 = 7.5 cm
Therefore, Circumference of the semicircle =πr+2r
=((22/7)×7.5)+(2×7.5) = 38.57cm
Hence, the correct option is (D).
View all questions of this test
Explore Courses for CAT exam

Top Courses for CAT

The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 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 The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 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 The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 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 The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The perimeter of a square is equivalent to twice the perimeter of a rectangle whose length is 8 cm and breadth is 7 cm. Find out the circumference of a semicircle which has a diameter equivalent to the side of the square.a)23.57 cmb)47.47 cmc)42.46 cmd)38.57 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