If 2 is the length of a side of a triangle with its opposite angle ' $\pi / 3$ ', then the circumradius of…

If 2 is the length of a side of a triangle with its opposite angle ' $\pi / 3$ ', then the circumradius of the triangle is ......
  1. $\frac{2}{\sqrt{3}}$
  2. $\frac{4}{\sqrt{3}}$
  3. 2
  4. 4

Solution

According to the question,
$ \because \quad a=2 \text { and } \angle A=\frac{\pi}{3} $ So, by sine Iaw, we have $ \frac{a}{\sin A}=2 R \Rightarrow \frac{2}{\sqrt{3} / 2}=2 R \Rightarrow R=\frac{2}{\sqrt{3}} $

Asked in: AP EAMCET 2020 (22 Sep Shift 1)

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