Respuesta :

Answer:

≈ 78.55 cm

Step-by-step explanation:

Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is

[tex]\frac{AB}{C}[/tex] = [tex]\frac{110}{360}[/tex] , that is

[tex]\frac{24}{C}[/tex] = [tex]\frac{110}{360}[/tex] ( cross- multiply )

110C = 8640 ( divide both sides by 110 )

C = [tex]\frac{8640}{110}[/tex] ≈ 78.55 cm ( to 2 dec. places )