7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[-\]Area of the inner circle \[=\pi {{R}^{2}}-\pi {{r}^{2}}=\pi ({{R}^{2}}-{{r}^{2}})\] A circular pond has a 50 cm wide footpath along the edge. A man walks around the outer edge of the footpath with 66 cm long steps. In 200 steps, he makes a full round. The radius of the pond is

    A) 20 m                           

    B) 50 m

    C) 20 cm                         

    D) 20.50 m

    Correct Answer: D

    Solution :

        Circumference of the outer edge \[=66\times 200=13200\,cm\] \[\therefore \]    \[r=\frac{13200\times 7}{2\times 22}=2100\,cm\] Radius of the pond = Radius of the outer edge ? width of the path \[=~\left( 2100-50 \right)=2050\,cm\] \[=\frac{2050}{100}m=20.50\,m\]


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