Question

7. In Fig. 13.32, circles are concentric with centre O.
Find AC.
L
A
D
19cm
B
110cm
17cm
Fig. 13.32​

Answer 1

Given : circles are concentric with centre O

To Find : AC

Solution:

Perpendicular from center on chord bisect the chord

Let say M is mid point of chord AB  and CD

AM² = AO² - OM²

=> AM²  =  17² - 9²     AO  = OB = Radius = 17 cm

=> AM  = 4√13

=> AM = 14.42 cm

CM² = CO² - OM²

=> CM²  =  10² - 9²      

=> CM  =  √19

=> CM = 4.36 cm

AC = AM - CM

=> AC = 14.42 - 4.36

= 10.06 cm

Length of AC = 10.06 cm

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