In a ΔABC, if b=2,c= and , then the value of R is

JEE MainMathematicsModerate

In
a ΔABC, if b=2,c= $\sqrt{3}$ and $\angle A = \frac{\pi}{6}$ , then the
value of R is

Show answer and solution

cos\frac{\pi}{6} = \frac{b^{2} + c^{2} - a^{2}}{2bc} = \frac{\sqrt{3}}{2}

\Rightarrow

a = 1

2R = \frac{a}{sinA}

\Rightarrow

R = 1

Source: Grass-G / M-24 Mathematics Paper 31 Dec.docx

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