The length of the arc subtended by a central angle of 4 radians = 20 m
Diameter of the circle = 10 m
Radius of the circle = 5 m
Central angle in radians = 4 radians
The length of arc for the circle can be determined by the formula as formulated in equation (1)
[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]
From equation (1) we can write that
[tex]\rm L = 5 \times 4 = 20 \; m[/tex]
The length of the arc subtended by a central angle of 4 radians = 20 m
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