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 :
Area of the triangle ABC \[(\Delta )=\frac{bc}{2}\sin A.\] From the sine formula, a = 2R sin A or \[\sin A=\frac{a}{2R}.\] \[\Rightarrow \,\,\Delta =\frac{1}{2}bc\,.\,\frac{a}{2R}=\frac{abc}{4R}\,\text{or }R=\frac{abc}{4\Delta }.\]You need to login to perform this action.
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