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ICSE Class 8 Answered

a chord length 16cm is at a distance of 6cm from the centre of circle . find the length of the chord of the same circle at the distance of 8cm from the centre 
Asked by chaudharysn165 | 04 Jan, 2019, 08:16: AM
answered-by-expert Expert Answer

Here,
 
OF is perpedicular to CD.
In ΔOFD,
 
OD2 = OF2 + FD2 = 62 + 8 = 100
OD = 10 cm
 
OD = OB = 10 cm ...(radii of the same circle)
 
Similarly,
OB2 = OE2 + BE
  102 = 82 + BE  

BE= 6 cm
 
Therefore length of the Chord = a + a = 6 + 6 = 12cm

 
Answered by Yasmeen Khan | 04 Jan, 2019, 11:35: AM
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