AP EAMCET · Maths · Properties of Triangles
If 2 is the length of a side of a triangle with its opposite angle ' \(\pi / 3\) ', then the circumradius of the triangle is ......
- A \(\frac{2}{\sqrt{3}}\)
- B \(\frac{4}{\sqrt{3}}\)
- C 2
- D 4
Answer & Solution
Correct Answer
(A) \(\frac{2}{\sqrt{3}}\)
Step-by-step Solution
Detailed explanation
According to the question, \[ \because \quad a=2 \text { and } \angle A=\frac{\pi}{3} \] So, by sine Iaw, we have \[ \frac{a}{\sin A}=2 R \Rightarrow \frac{2}{\sqrt{3} / 2}=2 R \Rightarrow R=\frac{2}{\sqrt{3}} \]
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