Answers

2015-02-09T20:02:34+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
See the attachment.
O is the centre of larger circle and P is the centre of smaller circle.
We need to find the chord length or 2y.

From ΔACP
x² + y² = 9

From ΔACO
y² + (4+x)² = 5²
⇒ y² + (16 + x² + 8x) = 25
⇒ x² + y² + 8x + 16 = 25
⇒ 9 + 8x + 16 = 25
⇒ 25 + 8x = 25 
⇒ 8x = 25-25 =0
⇒ x = 0

0 + y² = 9
⇒ y = √9 = 3
2y = 2*3 = 6cm

So length of common chord is 6cm. 

0