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135°x [(π Rad)/180°] = 3π/4 Radianes
L = 54π
Pero: L = (Angulo en Radianes)*R
R = L/(Angulo en Radianes)
R = (54π)/(3π/4)
R = 72 m
El radio de la pista circular es 72
A = [π*R²*α]/360°
α = En grados °
Area = [π*(72)²*(135°)]/360°
Area = 1944π m²
Por cierto como no pusiste unidades de medida asumi metros (m)