A) \[R=\frac{a+b+c}{\Delta }\]
B) \[R=\frac{a+b+c}{4\Delta }\]
C) \[R=\frac{abc}{4\Delta }\]
D) \[R=\frac{abc}{\Delta }\]
Correct Answer: C
Solution :
Radius of circumcircle of\[\Delta ABC=R\]And its area \[=\Delta .\]We know that area of the triangle \[ABC(\Delta )=\frac{bc}{2}\sin A,\] \[a=2R\sin A\]or \[\sin =\frac{a}{2R}\] \[\Delta =\frac{1}{2}bc\frac{a}{2R}=\frac{abc}{4R}\]or \[R=\frac{abc}{4\Delta }\]You need to login to perform this action.
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