Mathematics
Grade-7
Easy

Question

Arthur ran a circular field 3times. If he ran a total distance of 750 m. Determine the area of the field.

  1. 3541.7
  2. 4973.8
  3. 2547.2
  4. 1452.6

hintHint:

circumfrence or perimeter of a circle = 2πr  ( where r is the radius of the circle

The correct answer is: 4973.8


    C italic equals italic 2 pi r
a c c o r d i n g space t o space q u e s t i o n space
3 space cross times space c i r c u m f r e n c e space equals space 750
3 cross times 2 πr space equals space 750
2 πr space equals 750 over 3
italic 2 pi r italic equals italic 250
italic 2 italic cross times italic 3 italic. italic 14 italic cross times straight r italic equals italic 250
r italic equals fraction numerator italic 250 over denominator italic 6 italic. italic 28 end fraction
r italic equals italic 39 italic. italic 8
text italic  Area  end text italic equals pi r to the power of italic 2
space space space space space space space space space italic equals italic 3 italic. italic 14 italic cross times italic 39 italic. italic 8 to the power of italic 2
space space space space space space italic equals italic 3 italic. italic 14 italic cross times italic 1584 italic. italic 04
s o space a r e a italic equals italic 4973 italic. italic 8 text italic  square meters.  end text

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