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CBSE Class 9 Answered

Q. Out of two concentric circles,the radius of the outer circle is 5 cm and the chord AC of length 8 cm is tangent to the inner circle.Find the radius of the inner circle.
Asked by sambitgenius2005 | 24 Apr, 2019, 08:03: PM
answered-by-expert Expert Answer
 
 
 
 
 
 
 
From the figure,
 
Chord AB = 8 cm
OC is perpendicular to the chord AB
AC = CB = 4 cm
In right triangle OCA
OC2 + CA2 = OA2
OC2 = 52 - 42 = 25 - 16 = 9 
OC = 3 cm
 
Answered by Sneha shidid | 25 Apr, 2019, 09:47: AM
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begin mathsize 12px style Two space chords space AB space and space AC space of space straight a space circle space are space equal. space Prove space that space the space centre space of space the space circle space lies space on space the space angl e space bisector space of space angle BAC. end style
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