The field

The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field, circumference if one side of field 25 meters.

Result

a =  248.7 m
o =  547.4 m
S =  6217.5 m2

Solution:

u=250 b=25 a=u2b2=2502252=75 11248.7469=248.7  m u = 250 \ \\ b = 25 \ \\ a = \sqrt{ u^2-b^2 } = \sqrt{ 250^2-25^2 } = 75 \ \sqrt{ 11 } \doteq 248.7469 = 248.7 \ \text{ m }
o=2 (a+b)=2 (248.7469+25)=27375=547.4=547.4  m o = 2 \cdot \ (a+b) = 2 \cdot \ (248.7469+25) = \dfrac{ 2737 }{ 5 } = 547.4 = 547.4 \ \text{ m }
S=a b=248.7469 25=124352=6217.5=6217.5 m2S = a \cdot \ b = 248.7469 \cdot \ 25 = \dfrac{ 12435 }{ 2 } = 6217.5 = 6217.5 \ m^2



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