Question 12 (1 point) Saved An angle measuring 28.3 radians is drawn in standard position? In what quadrant will the terminal side of this angle lie? Express your answer as a Roman numeral. I III IV

III

Step-by-step explanation:

Quadrants

Given an angle in degrees, if its value is:

Between 0° and 90°, it lies in the first quadrant ( I )

Between 90° and 180°, it lies in the second quadrant ( II )

Between 180° and 270°, it lies in the third quadrant ( III )

Between 270° and 360°, it lies in the fourth quadrant ( IV )

We are given an angle of 28.3 radians. Converting to degrees:

To convert the angle to its standard position, we divide it by 360° and take the remainder:

1621/360 = 4 (integer part)

Remainder= 1621 - 4*360 = 181°

Since its value is between 180° and 270°, it lies in the third quadrant ( III )

III