3) The angle subtended at the center of the circle is 240 degrees. The diameter of the circle is 9ft. Recall,
Radius = diameter/2
Radius of the circle = 9/2 = 4.5
The formula for determining the length of an arc is expressed as
Length of arc = #/360 x 2 x pi x radius
# is the angle subtended at teh center of the circle by the arc. From the information given,
# = 240
radius = 4.5
pi = 3.14
Thus,
Length of arc = 240/360 x 2 x 3.14 x 4.5
Length of arc = 18.84
The length of the arc is 18.84 feet