Defence Exam > Defence Questions > Area of a circle inscribed in a square is 308...
Start Learning for Free
Area of a circle inscribed in a square is 308 cm2. The length of the diagonal of the square is (Take π=22/7)
- a)16 cm
- b)22 cm
- c)24 cm
- d)28 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Area of a circle inscribed in a square is 308 cm2.The length of the di...
Most Upvoted Answer
Area of a circle inscribed in a square is 308 cm2.The length of the di...
Let's assume that the side length of the square is "s".
Since the circle is inscribed in the square, its diameter must be equal to the side length of the square. Therefore, the diameter of the circle is also "s".
The area of a circle is given by the formula A = πr^2, where "r" is the radius of the circle. Since the diameter is equal to the side length of the square, we can say that the radius of the circle is equal to half the side length of the square, which is s/2.
So, the area of the circle is A = π(s/2)^2 = πs^2/4.
We are given that the area of the circle is 308 cm^2, so we can set up the equation:
πs^2/4 = 308.
To find the length of the diagonal of the square, we need to find the length of one side of the square first. We can solve the equation above for s:
πs^2 = 308 * 4.
s^2 = (308 * 4)/π.
s = sqrt((308 * 4)/π).
The length of the diagonal of the square is equal to s * sqrt(2). So, the length of the diagonal is:
sqrt((308 * 4)/π) * sqrt(2).
Simplifying this expression, we get:
sqrt((308 * 4 * 2)/π).
Calculating this expression, we find that the length of the diagonal of the square is approximately 27.94 cm.
Since the circle is inscribed in the square, its diameter must be equal to the side length of the square. Therefore, the diameter of the circle is also "s".
The area of a circle is given by the formula A = πr^2, where "r" is the radius of the circle. Since the diameter is equal to the side length of the square, we can say that the radius of the circle is equal to half the side length of the square, which is s/2.
So, the area of the circle is A = π(s/2)^2 = πs^2/4.
We are given that the area of the circle is 308 cm^2, so we can set up the equation:
πs^2/4 = 308.
To find the length of the diagonal of the square, we need to find the length of one side of the square first. We can solve the equation above for s:
πs^2 = 308 * 4.
s^2 = (308 * 4)/π.
s = sqrt((308 * 4)/π).
The length of the diagonal of the square is equal to s * sqrt(2). So, the length of the diagonal is:
sqrt((308 * 4)/π) * sqrt(2).
Simplifying this expression, we get:
sqrt((308 * 4 * 2)/π).
Calculating this expression, we find that the length of the diagonal of the square is approximately 27.94 cm.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer?.
Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is (Take π=22/7)a)16 cmb)22 cmc)24 cmd)28 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup