a An angle with a measure of 19 radians subtends an arc that

a An angle with a measure of 1.9 radians subtends an arc that is 1.9 b. An angle with a measure of 3.2 radians subtends 51.83627878 C. An angle with a measure of 114 degrees subtends an arc that is63 d. An angle with a measure of 247 degrees subtends 6861.111 times as large as the length of the radius. Preview Preview | times as large as the length of the radius. Previevw Preview % of the circle\'s circumference. x % of the circle\'s circumference.

Solution

a) Arc = angle*Radius = 1.9*radius

So arc is 1.9 times of length of radius.

b) A radian is the length of the radius put on to the circle. Since the circle has a circumference of 2pi*r,

3.2 radian is 3.2*r/2pi*r = (3.2/2pi) of the circumference.

That is 0.5093 of the circle\'s circumference or about 50.93%.

c) Angle = 114 degree = 1.99 radian

Arc = angle*Radius = 1.99*radius

So arc is 1.99 times of length of radius

d) Angle = 247 degree = 4.31 radian

A radian is the length of the radius put on to the circle. Since the circle has a circumference of 2pi*r,

4.31 radian is 4.31*r/2pi*r = (4.31/2pi) of the circumference.

That is 0.686 of the circle\'s circumference or about 68.6%.