Use the above figure to answer the question. How many radians are contained in the angle AOT? Round your answer to three decimal places.
a. 0.459 radian
b. 1.047 radians
c. 2.178 radians
d. 0.955 radian
The correct answer is 0.459 radian. There were 0.459 radians contained in the angle of AOT. This measurement of an angle also represents the a part of an arc of a circle which is the AOT. This measurement is mostly used in Calculus and other branches of Mathematics because they find it very helpful since geometry and angles are universally measured in Radian.
We have to find the measure of angle AOT in radians. To convert measure of an angle from degree to radians we use the formula = (Since measure of angle AOT is 60°) = (since π = 3.14)= 1.047 radians