Question 109821
Let x be the radius of the pool
Then x+2 is radius of pool + walkway
{{{pi*(x+2)^2}}} is area of pool + walkway
{{{pi*x^2}}} is area of pool
Area of walkway is the difference
{{{pi*(x+2)^2 - pi*x^2 = 88}}}
{{{pi*(x^2 + 4x + 4) - pi*x^2 = 88}}}
{{{pi*(4x + 4) = 88}}}
{{{4x + 4 = 88/pi}}}
{{{4x = (88/pi) - 4}}}
{{{x = (22/pi) - 1}}}
{{{x = 7.003 - 1}}}
{{{x = 6.003}}} m