Quant Exam > Quant Questions > What is the radius of the circle whose area i...
Start Learning for Free
What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?
- a)27m
- b)28m
- c)29m
- d)25m
- e)15m
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the radius of the circle whose area is equal to the sum of the...
πR² = πr1² + πr2²
πR² = π(r1² + r2²)
R² = (400 + 441)
R = 29
πR² = π(r1² + r2²)
R² = (400 + 441)
R = 29
Most Upvoted Answer
What is the radius of the circle whose area is equal to the sum of the...
To find the radius of the circle whose area is equal to the sum of the areas of two circles with radii 20 cm and 21 cm, we can use the formula for the area of a circle, which is A = πr^2.
Let's calculate the areas of the two circles first:
Area of the first circle with radius 20 cm:
A1 = π(20)^2 = 400π
Area of the second circle with radius 21 cm:
A2 = π(21)^2 = 441π
The sum of the areas of these two circles is:
A_total = A1 + A2 = 400π + 441π = 841π
Now, let's find the radius of the circle with the same area as the sum of the two circles.
A_total = πr^2
Substituting the value of A_total, we have:
841π = πr^2
Dividing both sides of the equation by π, we get:
841 = r^2
Taking the square root of both sides, we have:
r = √841
r = 29
Therefore, the radius of the circle whose area is equal to the sum of the areas of the two circles with radii 20 cm and 21 cm is 29 cm.
Hence, option C (29m) is the correct answer.
Let's calculate the areas of the two circles first:
Area of the first circle with radius 20 cm:
A1 = π(20)^2 = 400π
Area of the second circle with radius 21 cm:
A2 = π(21)^2 = 441π
The sum of the areas of these two circles is:
A_total = A1 + A2 = 400π + 441π = 841π
Now, let's find the radius of the circle with the same area as the sum of the two circles.
A_total = πr^2
Substituting the value of A_total, we have:
841π = πr^2
Dividing both sides of the equation by π, we get:
841 = r^2
Taking the square root of both sides, we have:
r = √841
r = 29
Therefore, the radius of the circle whose area is equal to the sum of the areas of the two circles with radii 20 cm and 21 cm is 29 cm.
Hence, option C (29m) is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
What is the radius of the circle whose area is equal to the sum of the...
πR² = πr1² + πr2²
πR² = π(r1² + r2²)
R² = (400 + 441)
R = 29
πR² = π(r1² + r2²)
R² = (400 + 441)
R = 29
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer?
Question Description
What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer?.
What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?a)27mb)28mc)29md)25me)15mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup