Question 1046514
The formula for area of an entire circle is:
{{{ A = pi*r^2 }}}
The formula for the area of a quarter circle is:
{{{ A/4 = (1/4)*pi*r^2 }}}
You are given that:
{{{ A/4 = 1 }}}
{{{ 1 = (1/4)*pi*r^2 }}}
{{{ r^2 = 4/pi }}}
{{{ r = 2/sqrt( pi ) }}}
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{{{ r }}} is 1/2 of a side of the square,
so a side of the square is:
{{{ s = 4/sqrt( pi ) }}}
{{{ A = s^2 }}}
{{{ A = 16/pi }}}
Hope I got it -check my math