N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.

Respuesta :

By definition, the arc length is given by:
 arc = (theta) * (R)
 Where,
 theta: central angle
 R: radius
 Substituting values we have:
 arc = (π / 5) * (2.8)
 Rewriting we have:
 arc = ((3.14) / 5) * (2.8)
 arc = 1.7584 cm
 Round to the hundredth:
 arc = 1.76 cm
 Answer:
 
the arc length is:
 
arc = 1.76 cm