A student measures an angle that turns through 29360

Question

of a circle. The student says the angle measures 29°. Is the student correct or incorrect?

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Answer 1

The student is incorrect.

To explain, if an angle turns through 29360 of a circle, we need to convert that into degrees. Since there are 360 degrees in a full circle, we can find the degree measure as follows:

\[ \text{Angle in degrees} = \frac{29360}{360} \approx 81.0° \]

Therefore, the student claiming the angle measures 29° is incorrect.