Question 190113
Find the length of a 50 degree arc of a circle whose radius is 6.
.
diameter = 2r = 2(6) = 12
circumference = (pi)d = (3.14)(12)
.
Since there is 360 deg in a full circle:
length of a 50 deg arc = (50/360)(3.14)(12)
length of a 50 deg arc = (50/30)(3.14)
length of a 50 deg arc = (5/3)(3.14)
length of a 50 deg arc = 5.23