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Line 106:
Line 106: − + − + − + − therefore DSOP is a Square <br>+
Circles Tangents Problems (view source)
Revision as of 05:41, 14 August 2014
, 05:41, 14 August 2014→Algorithm
==Algorithm==
==Algorithm==
In the fig BC=38 cm and BQ=27 cm <br>
In the fig BC=38 cm and BQ=27 cm <br>
BQ=BR=27 cm (because by concept 1) <br>
BQ=BR=27 cm (∵ by concept 1) <br>
∴CR=BC-BR=38-27=11 cm <br>
∴CR=BC-BR=38-27=11 cm <br>
CR=SC=11 cm (because by concept 1) <br>
CR=SC=11 cm (∵ by concept 1) <br>
DC=25 cm <br>
DC=25 cm <br>
∴ DS=DC-SC=25-11=14 cm <br>
∴ DS=DC-SC=25-11=14 cm <br>
DS=DP=14 cm (because by concept 1) <br>
DS=DP=14 cm (∵ by concept 1) <br>
Also AD⊥DC, OP ⊥ AD and OS ⊥ DC <br>
Also AD⊥DC, OP ⊥ AD and OS ⊥ DC <br>
∠D=∠S=∠P=90˚ <br>
∠D=∠S=∠P=90˚ <br>
⇒ ∠O=90˚ <br>
⇒ ∠O=90˚ <br>
∴ DSOP is a Square <br>
SO=OP=14 cm <br> hence Radius of given circle is 14 cm
SO=OP=14 cm <br> hence Radius of given circle is 14 cm