10th Class Mathematics Areas Related to Circles Question Bank Assertion And Reason (MCQs) - Areas Related to Circles

  • question_answer
    Assertion (A): If a wire of length \[\text{22 cm}\] is bent in the shape of a circle, then area of the circle so formed is \[\text{40 c}{{\text{m}}^{2}}\].
    Reason (R): Circumference of the circle = length of the wire.

    A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

    B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)

    C) Assertion (A) is true but Reason (R) is false

    D) Assertion (A) is false but Reason (R) is true

    Correct Answer: D

    Solution :

    [d] \[2\pi r=22\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,r=3.5cm\]
    Area of the circle \[=\frac{22}{7}\times 3.5\times 3.5=38.5c{{m}^{2}}\]


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