aAn angle with a measure of 12 radians subtends an arc that

a)An angle with a measure of 1.2 radians subtends an arc that is_____ times as large as the length of the radius.   

b)An angle with a measure of 4.9 radians subtends ______ % of the circle\'s circumference.   

c)An angle with a measure of 100 degrees subtends an arc that is ______ times as large as the length of the radius.   

d)An angle with a measure of 312 degrees subtends_______ % of the circle\'s circumference.  

Solution

a) 1.2 times

As Arc length = Radius*Angle(Radian)

b) 4.9 rad = 280.75 dedree

% of the circle\'s circumference = 280.75/360*100 = ~78%

c) 100 deg = 1.745 rad

Arc length = S = 1.745 times radius

d) % of the circle\'s circumference = 312/360)*100 = 86.7 %