Respuesta :

Answer:

7.5π units

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{270}{360}[/tex]

where r 9s the radius and 270° is the angle subtended at the centre.

arc = 2π × 5 × [tex]\frac{3}4}[/tex]

     = 10π × 0.75 = 7.5π units