Multiple Choice Questions on Three circles of radius 5 cm each touch each other If the points of contact are P Q and R then what ........... for CAPF (AC) Exam Preparation

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Multiple Choice Questions

Three circles of radius 5 cm each touch each other If the points of contact are P Q and R then what ...........

Quantitative Aptitude( Paper-I ) Mensuration 2D
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    Three circles of radius 5 cm each , touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR  in sq. cm?
    This questions was previously asked in
    CAPF 2023 Paper-1
    View All CAPF Previous Year Papers

    25√3
       6

    Incorrect Answer

    25√3
       4

    Correct Answer

    25√3
       2

    Incorrect Answer

    25√3

    Incorrect Answer
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    Explanation:

    25√3.
       4

    • Consider ΔADF
    • From triangle ABC, all sides are equal.
    • ∠A=60o [equilateral triangle]
    • AF=AD
    • ∠F=∠D=x(let)       [If 2 sides are equal then their opposite angles are also equal]
    • x+x+60=180
    • ⇒2x=120
    • ⇒x=60o
    • ADF is a equilateral triangle
    • DF=AD=5 cm.
    • Area of this triangle =( sqrt(3) / 4 ) × a²
    • = 25 Sqrt(3) / 4

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