Mathematics
Grade-7
Easy

Question

The circumference of a circular rug is 24.8 meters. Determine the area of the rug.

  1. 12.5
  2. 61.5
  3. 74.2
  4. 48.7

hintHint:

circumference of a circle =2 πr space space left parenthesis space where space straight r space is space the space radius space of space the space circle

The correct answer is: 48.7


    C italic equals italic 2 pi r
italic 2 pi r italic equals italic 24 italic. italic 8
italic 2 italic cross times italic 3 italic. italic 14 italic cross times straight r italic equals italic 24 italic. italic 8
r italic equals fraction numerator italic 24 italic. italic 8 over denominator italic 6 italic. italic 28 end fraction
r italic equals italic 3 italic. italic 94
text italic  Area  end text italic equals pi r to the power of italic 2 italic equals italic 3 italic. italic 14 italic cross times italic 3 italic. italic 94 to the power of italic 2
italic equals italic 3 italic. italic 14 italic cross times italic 15 italic. italic 52
italic equals italic 48 italic. italic 7 text italic  square meters.  end text

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