Question

How many radians are contained in the angle AOT in the figure? Round your answer to three decimal places.

A. 0.459 radian
B. 2.178 radians
C. 1.047 radians
D. 0.955 radian

Answer 1

1 radian = 57.3 degrees

60 ÷ 57.3 = 1.047


correct answer: C

Answer 2

Option C. 1.047 radians

Explanation:

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

`\text{radians}=\frac{\pi(\text{degrees})}{180}`

=
`(\pi(60))/(180)=(\pi )/(3)`

(Since measure of angle AOT is 60°)

=
`(3.14)/(3)` (since π = 3.14)

= 1.047 radians

Therefore, option C. 1.047 radians is the correct option.