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Two parallel Chords of a circle …

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Two parallel Chords of a circle are in the opposite side of the centre having lengths 12cm and 16cm respectively. If the smaller chord is at a distance of 8cm from the center. find the distance of the bigger chord from the center.​
  • 1 answers

Gaurav Seth 3 years, 11 months ago

Step-by-step explanation:

1. Given data

  Radius if circle (R)=

  Length of one chord (=16 cm

  Length of second chord (=12 cm

2. Let perpendicular distance of chord of length 16 cm from centre of circle is 

   Then

   ...1)

   On putting the respective value in equation 1)

      ...2)

3. Let perpendicular distance of chord of length 12 cm from centre of circle is 

    Then

   ...3)

   On putting the respective value in equation 3)

        ...4)

5. If both is on same side with respect to centre of circle, distance between two chord

   

6. If both is on opposite side with respect to centre of circle, distance between two chord    

   

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