NTSE Sample Paper NTSE SAT Practice Test-10

  • question_answer
    Consider a circle C of radius 6 cm with center at 0. What is the difference in the area of the subtending an angle of 80° at O?       

    A) \[26\,\pi \,c{{m}^{2}}\]                       

    B) \[16\,\pi \,c{{m}^{2}}\]

    C) \[28\,\pi \,c{{m}^{2}}\]           

    D) \[30\,\pi \,c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] We have, \[360{}^\circ -80{}^\circ =280{}^\circ \] \[\therefore \] Required ratio \[=\frac{280{}^\circ }{360{}^\circ }\times \pi \times {{(6)}^{2}}\] \[=\frac{7}{9}\times \pi \times 36\] \[=28\,\pi \,c{{m}^{2}}\]         


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