ICSE Class 10 Answered

If a chord of length 8 cm is at a distance of 3 cm from the centre of circle what is the radius of circle

Asked by lovemaan5500 | 26 Dec, 2017, 12:30: PM

Expert Answer

begin mathsize 16px style Given colon space AM space is space the space chord space AM equals 8 space cm space space space space space space space space space space space space space space Distance space of space the space chord space from space the space centre space is space OB equals 3 space cm To space find colon space Radius space of space the space circle space OA Proof colon space OB perpendicular AM space space space space space space space space space space space space space rightwards double arrow AB equals MB equals AM over 2 equals 8 over 2 equals space 4 space cm space space space space space space space space space space space space In space increment OBA comma space using space Pythagoras comma space space space space space space space space space space space space AB squared plus OB squared equals OA squared space space space space space space space space space space space space 4 squared plus 3 squared equals OA squared space space space space space space space space space space space space OA squared equals 25 space space space space space space space space space space space space OA equals 5 space cm space space space space space space space space space space space space Radius space of space the space circle space is space 5 space cm. end style

Answered by Sneha shidid | 26 Dec, 2017, 12:43: PM

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