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 \[=\pi {{R}^{2}}-\pi {{r}^{2}}=\pi ({{R}^{2}}-{{r}^{2}})\] The radius of a circular sheet of metal is 14 m. A circular piece of sheet is cut out from its center. This piece has a radius of 7 m. The area of the sheet left is

    A) 462 sq. m      

    B) 642 sq. m

    C) 426 sq. m        

    D) 246 sq. m

    Correct Answer: A

    Solution :

        Required area = Outer area ? inner area \[=\pi \,(14+7)\,(14-7)sq.\,m\] \[=\frac{22}{7}\times 21\times 7=462\,\text{sq}\text{.}\,\text{m}\]


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