Class 9 Exam > Class 9 Questions > The radius of a circle is 26 cm and the lengt...
Start Learning for Free
The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:
- a)24 cm
- b)20 cm
- c)44 cm
- d)48 cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The radius of a circle is 26 cm and the length of the perpendicular fr...
According to the question,
OA = r = 26 cm.
OB′ = 10 cm
(Using Pythagoras theorem)
∴ AB = 2 × AB′ = 2 × 24 cm = 48 cm.
OA = r = 26 cm.
OB′ = 10 cm
(Using Pythagoras theorem)
∴ AB = 2 × AB′ = 2 × 24 cm = 48 cm.
Free Test
FREE
| Start Free Test |
Community Answer
The radius of a circle is 26 cm and the length of the perpendicular fr...
To find the length of the chord AB, we can use the formula for the length of a chord given the radius and the perpendicular distance from the center to the chord.
Given:
Radius of the circle, r = 26 cm
Length of the perpendicular from the center to the chord, h = 10 cm
Using the formula,
Length of chord AB = 2 * sqrt(r^2 - h^2)
Calculating the value,
Length of chord AB = 2 * sqrt(26^2 - 10^2)
= 2 * sqrt(676 - 100)
= 2 * sqrt(576)
= 2 * 24
= 48 cm
Therefore, the length of chord AB is 48 cm. Hence, the correct answer is option D.
Given:
Radius of the circle, r = 26 cm
Length of the perpendicular from the center to the chord, h = 10 cm
Using the formula,
Length of chord AB = 2 * sqrt(r^2 - h^2)
Calculating the value,
Length of chord AB = 2 * sqrt(26^2 - 10^2)
= 2 * sqrt(676 - 100)
= 2 * sqrt(576)
= 2 * 24
= 48 cm
Therefore, the length of chord AB is 48 cm. Hence, the correct answer is option D.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer?.
The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The radius of a circle is 26 cm and the length of the perpendicular from the center to the chord AB is equal to 10 cm. The length of AB is:a)24 cmb)20 cmc)44 cmd)48 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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