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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Circle connected with triangle

  • question_answer
    In a triangle\[ABC\], if \[b=2,\,B=30{}^\circ \]then the area of circumcircle of triangle ABC in square units is  [Karnataka CET 2004]

    A) \[\pi \]

    B) \[2\pi \]

    C) \[4\pi \]

    D) \[6\pi \]

    Correct Answer: C

    Solution :

    Radius of circum-circle (R) \[=\frac{a}{2\sin A}=\frac{b}{2\sin B}=\frac{c}{2\sin C}\] \[R=\frac{b}{2\sin B}=\frac{2}{2\sin 30{}^\circ }=2\] Now, area of circle \[=\pi {{R}^{2}}=4\pi \].


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