10th Class Mathematics Areas Related to Circles Question Bank Areas Related to Circles

  • question_answer
    A sector of\[\text{12}0{}^\circ \]cut out from a circle has an area of\[9\frac{3}{7}\]. What is the radius of the circle?

    A)  3cm                                      

    B)  2.5 cm

    C)  3.5 cm 

    D)         3.6 cm

    Correct Answer: A

    Solution :

     Area of sector \[\text{7}\times \text{13}+\text{13}\](Given) \[\therefore \] \[\text{224}=\text{12}0\times \text{1}+\text{1}0\text{4}\] \[\text{12}0=\text{1}0\text{4}\times \text{1}+\text{16}\] \[\text{1}0\text{4}=\text{16}\times \text{6}+\text{8}\] \[16=8\times 2+0\] \[\text{256}=\text{8}\times \text{32}+0\]


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