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α = 50°
Radio = ?
Longitud del arco = 2π*r*α/360°
L = 2π *r * α/360°
4πcm = 2π*r * 50° /360° Simplificamos el cero
4πcm = 2π*r * 5/36
36 * 4πcm = 10π*r
144πcm = 10π * r
144πcm/10π = r
14,4cm = r
Respuesta.
El radio es de 14,4cm