SSC Exam > SSC Questions > If the length of a chord is 24 cm which is at...
Start Learning for Free
If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?
- a)8 cm
- b)4 cm
- c)5 cm
- d)10 cm
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the length of a chord is 24 cm which is at a certain distance from ...
From given data
Let AB = 24 cm be a chord of circle with center O and radius OA and OB equals to 13 cm
Draw OP perpendicular to AB
⇒ AP = AB/2 = 24/2 = 12 cm
From ΔOPA, we know that
⇒ OA2 = AP2 + OP2
⇒ 132 = OP2 + 122
⇒ 169 - 144 = OP2
⇒ OP = 5 cm
∴ Distance between chord from centre of the circle = OP = 5 cm
Let AB = 24 cm be a chord of circle with center O and radius OA and OB equals to 13 cm
Draw OP perpendicular to AB
⇒ AP = AB/2 = 24/2 = 12 cm
From ΔOPA, we know that
⇒ OA2 = AP2 + OP2
⇒ 132 = OP2 + 122
⇒ 169 - 144 = OP2
⇒ OP = 5 cm
∴ Distance between chord from centre of the circle = OP = 5 cm
Most Upvoted Answer
If the length of a chord is 24 cm which is at a certain distance from ...
Given:
- Length of the chord = 24 cm
- Radius of the circle = 13 cm
Formula:
- In a circle, the perpendicular distance from the center of the circle to a chord is equal to half the length of the chord.
Calculation:
- Given that the length of the chord is 24 cm, the distance between the chord and the center of the circle is half of the length of the chord.
- Therefore, the distance between the chord and the center of the circle = 24/2 = 12 cm
Additional Calculation:
- Now, we need to find the distance between the chord and the center of the circle, which is the radius of the circle minus the distance we just calculated.
- Distance between the chord and the center of the circle = Radius of the circle - Distance between the chord and the center of the circle
- Distance between the chord and the center of the circle = 13 cm - 12 cm = 1 cm
Conclusion:
The distance between the chord and the center of the circle is 1 cm, which is closest to option 'c) 5 cm'. Hence, the correct answer is option 'c) 5 cm'.
- Length of the chord = 24 cm
- Radius of the circle = 13 cm
Formula:
- In a circle, the perpendicular distance from the center of the circle to a chord is equal to half the length of the chord.
Calculation:
- Given that the length of the chord is 24 cm, the distance between the chord and the center of the circle is half of the length of the chord.
- Therefore, the distance between the chord and the center of the circle = 24/2 = 12 cm
Additional Calculation:
- Now, we need to find the distance between the chord and the center of the circle, which is the radius of the circle minus the distance we just calculated.
- Distance between the chord and the center of the circle = Radius of the circle - Distance between the chord and the center of the circle
- Distance between the chord and the center of the circle = 13 cm - 12 cm = 1 cm
Conclusion:
The distance between the chord and the center of the circle is 1 cm, which is closest to option 'c) 5 cm'. Hence, the correct answer is option 'c) 5 cm'.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer?.
If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the length of a chord is 24 cm which is at a certain distance from the centre of a circle of radius 13cm. Find distance between chord from centre of the circle?a)8 cmb)4 cmc)5 cmd)10 cmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC 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