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Perimeter of a sector is P = (2 + theta)R, and area is A = ½·R²·theta
theta = P/R -2, substituting in area equation
A = P·R/2 - r², we wish to maximize area
dA/dR = P/2 - 2·R —-> R = P/4 = 5 m, and theta = 2 rad
A = 25 m²
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