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ICSE Class 9 Answered

Prove that the angle subtended at the centre of a circle is bisected by the radius passing through the midpoint of the arc.

Asked by pereiracalida | 14 Jan, 2018, 06:59: PM
Expert Answer
begin mathsize 16px style Here space BA space is space arc.
straight P space is space mid space point.
Consider comma space straight P space on space the space minor space segment.
AP equals PB
In space increment CAP space and space increment CBP
CB equals CA space space space space space space space space space space space space space space space space space space space space space space space space space space radii space of space the space same space circle
AP equals PB space space space space space space space space space space space space space space space space space space space space space space space space space space straight P space is space mid space point
CP equals CP space space space space space space space space space space space space space space space space space space space space space space space space space space Comon space side
increment CAP space approximately equal to space increment CBP space space space space space space space space space space space SSS space test
angle BCP equals angle PCA
Similarely space you space can space consider space for space major space segment space and space prove. end style
Answered by Sneha shidid | 15 Jan, 2018, 12:10: PM
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