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In a circle of radius 17 cm, a chord is at a distance of 8 cm from the centre of the circle. What is the length of the chord? (SSC CGL-2018)
- a)20 cm
- b)15 cm
- c)25 cm
- d)30 cm
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a circle of radius 17 cm, a chord is at a distance of 8 cm from the...
Given information:
- Radius of the circle: 17 cm
- Distance of the chord from the centre: 8 cm
Formula to find the length of the chord:
- If a chord is at a distance 'd' from the centre of a circle of radius 'r', then the length of the chord can be calculated using the formula:
Length of Chord = 2 * √(r^2 - d^2)
Calculation:
- Substitute the given values into the formula:
Length of Chord = 2 * √(17^2 - 8^2)
= 2 * √(289 - 64)
= 2 * √(225)
= 2 * 15
= 30 cm
Therefore, the length of the chord in the circle of radius 17 cm and at a distance of 8 cm from the centre is 30 cm. Hence, the correct answer is option 'D'.
- Radius of the circle: 17 cm
- Distance of the chord from the centre: 8 cm
Formula to find the length of the chord:
- If a chord is at a distance 'd' from the centre of a circle of radius 'r', then the length of the chord can be calculated using the formula:
Length of Chord = 2 * √(r^2 - d^2)
Calculation:
- Substitute the given values into the formula:
Length of Chord = 2 * √(17^2 - 8^2)
= 2 * √(289 - 64)
= 2 * √(225)
= 2 * 15
= 30 cm
Therefore, the length of the chord in the circle of radius 17 cm and at a distance of 8 cm from the centre is 30 cm. Hence, the correct answer is option 'D'.
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Community Answer
In a circle of radius 17 cm, a chord is at a distance of 8 cm from the...
Here, AB is a chord
OA = OB = 17cm (radius)
OD = 8cm
Form ΔADO
Chord AB = 2 ´ 15 = 30cm
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In a circle of radius 17 cm, a chord is at a distance of 8 cm from the centre of the circle. What is the length of the chord? (SSC CGL-2018)a)20 cmb)15 cmc)25 cmd)30 cmCorrect answer is option 'D'. Can you explain this answer?
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