Search any question & find its solution
Question:
Answered & Verified by Expert
If 2 is the length of a side of a triangle with its opposite angle ' $\pi / 3$ ', then the circumradius of the triangle is ......
Options:
Solution:
2175 Upvotes
Verified Answer
The correct answer is:
$\frac{2}{\sqrt{3}}$
According to the question,
$$
\because \quad a=2 \text { and } \angle A=\frac{\pi}{3}
$$
So, by sine Iaw, we have
$$
\frac{a}{\sin A}=2 R \Rightarrow \frac{2}{\sqrt{3} / 2}=2 R \Rightarrow R=\frac{2}{\sqrt{3}}
$$
$$
\because \quad a=2 \text { and } \angle A=\frac{\pi}{3}
$$
So, by sine Iaw, we have
$$
\frac{a}{\sin A}=2 R \Rightarrow \frac{2}{\sqrt{3} / 2}=2 R \Rightarrow R=\frac{2}{\sqrt{3}}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.