Question

graded quiz: circles
0:19:41 elapsed

use the above figure to answer the question. how many radians are contained in the
angle aot? round your answer to three decimal places.

Explanation:

Step1: Recall the relationship between degrees and radians

The formula to convert degrees to radians is \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees}\).

Step2: Identify the degree measure of the angle

In right - triangle \(OAT\), \(\angle AOT = 60^{\circ}\) (given).

Step3: Convert the degree measure to radians

Substitute the degree value into the formula: \( \text{Radians}=\frac{\pi}{180}\times60\).
Simplify the expression: \( \text{Radians}=\frac{\pi}{3}\approx\frac{3.14159}{3}\).
Calculate the value: \( \text{Radians}\approx1.047\).

Answer:

\(1.047\)