In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.What is the length of the arc?2π ft 3π ft 6π ft 9π ft
Accepted Solution
A:
we know that
the length of a circumference=2*pi*r for r=8 ft the length of a circumference=2*pi*8---------> 16π ft
if 2π radians (full circle)-------------------> has a length of 16π ft 3π/4 radians-------------------------------> X X=3π/4*16π/2π-------------> X=6π ft