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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-8

  • question_answer
    B. What is the area of a circle whose area is equal to that of a triangle with sides 7 cm, 24 cm and 25 cm?

    A) \[80c{{m}^{2}}\]                                         

    B) \[84c{{m}^{2}}\]

    C) \[88c{{m}^{2}}\]                                         

    D) \[90c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    Semi-perimeter of triangle =         \[\frac{a+b+c}{2}\] =         \[\frac{7+24+25}{2}=\frac{56}{2}=28\,\,cm\] Area of circle = Area of triangle =         \[\sqrt{s(s-a)(s-b)(s-c)}\] =         \[\sqrt{28(28-7)(28-24)(28-25)}\] =         \[\sqrt{28\times 21\times 4\times 3}=\sqrt{7056}=84c{{m}^{2}}\]


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