10th Class Mathematics Areas Related to Circles Question Bank Assertion and Reason MCQs - Areas Related to Circles

  • question_answer
     
    Directions:  Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.
    Assertion If a wire of length 22 cm is bent is the shape of a circle, then area of the circle so formed is 40 cm .
    Reason Circumference of the circle = length of the wire.

    A) A is true, R is true; R is a correct explanation for A.

    B) A is true, R is true; R is not a correct explanation for A.

    C) A is true; R is false.

    D) A is false; R is true.

    Correct Answer: D

    Solution :

    Assertion is False, but reason is true. \[2\pi r=22\] \[r=3.5\,cm\] \[\therefore \]Area of the circle \[=\frac{22}{7}\times 3.5\times 3.5=38.5\,c{{m}^{2}}\]


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