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AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is
- a)6 cm
- b)8 cm
- c)5 cm
- d)7 cm
Correct answer is option 'D'. Can you explain this answer?
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AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 c...
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AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 c...
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AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 c...
Given information:
- AD is the diameter of the circle, and its length is 50 cm.
- AB is a chord of the circle, and its length is 48 cm.
To find the distance of AB from the center of the circle, we can use the following formula:
Distance of chord from the center = √(r^2 - (d/2)^2)
where r is the radius of the circle and d is the length of the chord.
Step 1: Finding the radius
- The diameter AD is given as 50 cm.
- The formula for the diameter is D = 2r, where D is the length of the diameter and r is the radius.
- Substituting the given value, we have 50 = 2r.
- Dividing both sides by 2, we get r = 25 cm.
Step 2: Finding the distance of AB from the center
- Substituting the values of r and d into the formula, we have
Distance of AB from the center = √(25^2 - (48/2)^2)
= √(625 - 24^2)
= √(625 - 576)
= √49
= 7 cm.
Therefore, the distance of AB from the center of the circle is 7 cm. Hence, option D is the correct answer.
- AD is the diameter of the circle, and its length is 50 cm.
- AB is a chord of the circle, and its length is 48 cm.
To find the distance of AB from the center of the circle, we can use the following formula:
Distance of chord from the center = √(r^2 - (d/2)^2)
where r is the radius of the circle and d is the length of the chord.
Step 1: Finding the radius
- The diameter AD is given as 50 cm.
- The formula for the diameter is D = 2r, where D is the length of the diameter and r is the radius.
- Substituting the given value, we have 50 = 2r.
- Dividing both sides by 2, we get r = 25 cm.
Step 2: Finding the distance of AB from the center
- Substituting the values of r and d into the formula, we have
Distance of AB from the center = √(25^2 - (48/2)^2)
= √(625 - 24^2)
= √(625 - 576)
= √49
= 7 cm.
Therefore, the distance of AB from the center of the circle is 7 cm. Hence, option D is the correct answer.
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AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 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 AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 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 AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 cmCorrect answer is option 'D'. Can you explain this answer?.
AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 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 AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 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 AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle isa)6 cmb)8 cmc)5 cmd)7 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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