Question 1141006
Add the circumferences
{{{ C[1] + C[2] = 40p }}}
{{{ 2pi*r[1] + 2pi*r[2] = 40p }}}
{{{ r[1] + r[2] = ( 40pi ) / ( 2pi ) }}}
{{{ r[1] + r[2] = 20 }}}
{{{ r[2] = 20 - r[1] }}}
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Add the areas
{{{ A[1] + A[2] = 364p }}}
{{{ pi*r[1]^2 + pi*r[2]^2 = 364p }}}
{{{ r[1]^2 + r[2]^2 = 364p
{{{ r[1]^2 + ( 20 - r[1] )^2 = 364p }}}
{{{ r[1]^2 + 400 - 40r[1] + r[1]^2 = 364p }}}
{{{ 2r[1]^2 - 40r[1] + 400 - 364p = 0 }}}
{{{ r[1]^2 - 20r[1] + 200 - 182p = 0 }}}
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{{{ r[1] = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{ r[1] = (-(-20) +- sqrt( (-20)^2-4*1*( 200 - 182p) ))/(2*1) }}}
{{{ r[1] = ( 20 +- sqrt( 400 + 728p - 800 ))/2 }}}
{{{ r[1] = ( 20 + sqrt( 728p - 400 )) / 2 }}}
and
{{{ r[2] = 40/2 - ( 20 +-sqrt( 728p - 400 )) / 2 }}}
{{{ r[2] = ( 20 - sqrt( 728p - 400 )) / 2 }}} 
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check the math & definitely get another opinion.