Question

If the angle between 2 radii of a circle is 118 find the angle between tangent at the end of those radii

Answer 1

THANKS FOR THE QUESTION !

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ANS :

......................... 62° ........................

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GIVEN :

=> THE ANGLE BETN THE 2 RADII OF A CIRCLE WITH CENTRE O :

=> 118°

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FROM FIG.

THE RADII :

=> OA AND OB

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\_ AOB :

=> 118°

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CONSTRUCTION :

=> DRAW TWO TANGENTS AT POINT A AND B

=> LET THEM MEET AT POINT P OUTSIDE THE CIRCLE

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TO FIND :

=> \_ APB

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BY THE THEOREM OF CENTRAL ANGLE :

=> THE MEASURE OF ARC CORRESPONDING TO A CENTRAL ANGLE IS EQUAL TO THE MEASURE OF THAT CENTRAL ANGLE

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SO,

=> M ( ARC AB ) :

=> \_ AOB

=> 118°

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MEASURE OF MAJOR ARC :

=> 360° - MEASURE OF MINOR ARC

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MEASURE OF ARC AQB :

=> 360° - M ( ARC AB )

=> 360° - 118°

=> 242°

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BY THE THEOREM :

=> MEASURE OF THE ANGLE MADE BY TWO TANGENTS :

=> THE CORRESPONDING MAJOR ARC - CORRESPONDING MINOR ARC / 2

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\_ APB :


=> M ( AQB ) - M ( AB ) / 2

=> 242 ° - 118° / 2

=> 124° / 2

=> 62°

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HOPE IT WILL HELP U.......

THANKS AGAIN.........

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