Question 1140826
{{{ A = pi*r^2 }}}
{{{ pi*r^2 = pi*5 }}}
{{{ r^2 = 5 }}}
{{{ r = sqrt(5) }}}
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Find the circumference:
{{{ C = 2*pi*r }}}
{{{ C = 2*sqrt(5)*pi }}}
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{{{ 3/( 2*sqrt(5)*pi ) = theta / ( 2*pi ) }}}
{{{ theta = 3/sqrt(5) }}}
{{{ theta = 1.3416 }}} radians
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In degrees:
{{{ theta / ( 2*pi ) = 1.3416 / 6.2832 }}}
{{{ ( 1.3416 / 6.2832 )*360 = .2135*360 }}}
{{{ .2135*360 = 76.8678 }}} degrees
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check the math and get a 2nd opinion if needed