AB is a chord of a circle S subtending an angle of 20 at the centre Suppose AB - Maths - Circles

Question

AB is a chord of a circle S subtending an
angle of 20° at the centre Suppose AB
has length 1008 units and CD is another

chord having length 1512 units, tli en the
angle subtended by CD at the cenh·e is:

Rishabh Mittal · Accepted Answer

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AB=1008 Units ,  CD=1512 Units
BE=AB2=504 units  ,  DF=CD2=756 units
In △BEO∠BOE=10°sin∠BOE=BEBOsin 10°=504BOBO=5040
173    Since sin 10°=0 173BO=2913
29 units BO=DO=2913
29 units     Radius of circleIn △DFOsin∠DOF=DFDOsin∠DOF=7562913
29=0 259∠DOF=sin-10
259=26°So, angle subtended by CD is 52°

AB is a chord of a circle S subtending an angle of 20° at the centre. Suppose AB has length 1008 units and CD is another . . chord having length 1512 units, tli.en the angle subtended by CD at the cenh·e is:

AB is a chord of a circle S subtending an
angle of 20° at the centre. Suppose AB
has length 1008 units and CD is another
. .
chord having length 1512 units, tli.en the
angle subtended by CD at the cenh·e is: