Question

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​

Answer 1

Answer: III

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:

`28.3*180/\pi=1621^\circ`

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 )

Answer: III