Quant Exam > Quant Questions > Can you explain the answer of this question b...
Start Learning for Free
Can you explain the answer of this question below:
What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?
- A:36
- B:18
- C:24
- D:9
The answer is b.
Verified Answer
Can you explain the answer of this question below:What is the angle in...
Most Upvoted Answer
Can you explain the answer of this question below:What is the angle in...
To solve this problem, we need to understand the relationship between the area of a sector and the area of a semicircle.
The area of a sector is given by the formula:
Area of sector = (θ/360) * π * r^2
The area of a semicircle is given by the formula:
Area of semicircle = (1/2) * π * r^2
Given that the ratio of the area of the sector to the area of the semicircle is 1:10, we can set up the following equation:
(θ/360) * π * r^2 / ((1/2) * π * r^2) = 1/10
Simplifying this equation, we can cancel out the common terms:
(θ/360) / (1/2) = 1/10
Now, cross-multiply:
(θ/360) * 2 = 1/10
θ/180 = 1/10
Multiply both sides of the equation by 180:
θ = 18
Therefore, the angle in degrees made by the sector is 18 degrees.
Hence, the correct answer is option B (18).
The area of a sector is given by the formula:
Area of sector = (θ/360) * π * r^2
The area of a semicircle is given by the formula:
Area of semicircle = (1/2) * π * r^2
Given that the ratio of the area of the sector to the area of the semicircle is 1:10, we can set up the following equation:
(θ/360) * π * r^2 / ((1/2) * π * r^2) = 1/10
Simplifying this equation, we can cancel out the common terms:
(θ/360) / (1/2) = 1/10
Now, cross-multiply:
(θ/360) * 2 = 1/10
θ/180 = 1/10
Multiply both sides of the equation by 180:
θ = 18
Therefore, the angle in degrees made by the sector is 18 degrees.
Hence, the correct answer is option B (18).
Free Test
FREE
| Start Free Test |
Community Answer
Can you explain the answer of this question below:What is the angle in...
The angle made by semi-circle is 180 degrees and the angle suspended by the sector will be in same ratio as areas. area of semi circle πR^2 area of sector πR^2/10 so angle suspended will be 180/10=18
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b.
Question Description
Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b..
Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b..
Solutions for Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. 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 Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. defined & explained in the simplest way possible. Besides giving the explanation of
Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b., a detailed solution for Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. has been provided alongside types of Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. theory, EduRev gives you an
ample number of questions to practice Can you explain the answer of this question below:What is the angle in degrees made by a sector, the ratio of whose area with the area of the semicircle is equal to 1:10?A:36B:18C:24D:9The answer is b. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup