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In a circle, the length of a chord is 24 cm. The chord is 5 cm away from the centre of the circle. Find the diameter of the circle.
  • a)
    12 cm
  • b)
    10 cm
  • c)
    13 cm
  • d)
    26 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a circle, the length of a chord is 24 cm. The chord is 5 cm away fr...

Let AB be the chord and O be the center of the circle.
Also OP perpendicular to AB
In ΔOPB,
OB2 = PB2 + OP2
⇒ OB2 = 122 + 52
⇒ OB2 = 169
⇒ OB = 13
Diameter = 2 × OB = 26
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Most Upvoted Answer
In a circle, the length of a chord is 24 cm. The chord is 5 cm away fr...

Let AB be the chord and O be the center of the circle.
Also OP perpendicular to AB
In ΔOPB,
OB2 = PB2 + OP2
⇒ OB2 = 122 + 52
⇒ OB2 = 169
⇒ OB = 13
Diameter = 2 × OB = 26
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Community Answer
In a circle, the length of a chord is 24 cm. The chord is 5 cm away fr...

Let AB be the chord and O be the center of the circle.
Also OP perpendicular to AB
In ΔOPB,
OB2 = PB2 + OP2
⇒ OB2 = 122 + 52
⇒ OB2 = 169
⇒ OB = 13
Diameter = 2 × OB = 26
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In a circle, the length of a chord is 24 cm. The chord is 5 cm away from the centre of the circle. Find the diameter of the circle.a)12 cmb)10 cmc)13 cmd)26 cmCorrect answer is option 'D'. Can you explain this answer?
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