In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?
2π ft
​ 3π ​ ft
​ 6π ​ ft
​ 9π ​ ft

Respuesta :

the correct question is 
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc? 

we know that
in a circle
2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

 the lenght  of the arc=(2π/3)*3=2π ft

the answer is 2π ft




Answer:

The correct answer is 2π ft.

Step-by-step explanation:

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