11th Class Mathematics Trigonometric Identities Question Bank Critical Thinking

  • question_answer The circular wire of diameter 10cm is cut and placed along the circumference of a circle of diameter 1 metre. The angle subtended by the wire at the centre of the circle is equal to [MNR 1974]

    A) \[\frac{\pi }{4}radian\]

    B) \[\frac{\pi }{3}radian\]

    C) \[\frac{\pi }{5}radian\]

    D) \[\frac{\pi }{10}radian\]

    Correct Answer: C

    Solution :

    Given, diameter of circular wire =\[10cm\], therefore length of wire =\[10\pi \]. Hence required angle \[=\frac{\text{arc}}{\text{radius}}=\frac{10\pi }{50}=\frac{\pi }{5}\] radian.

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