Question 1

Which of the following best describes the terminal side of an angle in standard position?

Accepted Answer

It is the ray that rotates away from the initial side.

Question 2

If an angle is rotated in a clockwise direction from its initial side, what is the sign of its measure?

Accepted Answer

Negative

Question 3

What is the radian measure of a central angle that intercepts an arc equal in length to the radius of the circle?

Accepted Answer

$$1$$ radian

Question 4

Convert $$135^\circ to $$radians.

Accepted Answer

$$\frac{3\pi}{4}$$

Question 5

Which of the following angles is coterminal with $$-45^\circ$$?

Accepted Answer

$$315^\circ$$

Question 6

A Ferris wheel rotates counterclockwise through $$270^\circ. $$What fraction of a full revolution is this?

Accepted Answer

$$\frac{3}{4}$$

Question 7

Which equation correctly converts degrees to radians?

Accepted Answer

$$1^\circ = \frac{\pi}{180}$$ radians

Question 8

Find the least non-negative coterminal angle for $$405^\circ.$$

Accepted Answer

$$45^\circ$$

Question 9

A central angle in a circle has a measure of $$\frac{5\pi}{3}$$ radians. What is its measure in degrees?

Accepted Answer

$$300^\circ$$

Question 10

Which of the following is NOT true about coterminal angles?

Accepted Answer

Coterminal angles are always equal.

Question 11

A clock’s minute hand moves from 12 to 3. What is the angle in radians swept by the hand?

Accepted Answer

$$\frac{\pi}{2}$$

Question 12

Which of the following angles is in Quadrant III?

Accepted Answer

$$210^\circ$$

Question 13

If an angle measures $$-240^\circ$$, which quadrant does its terminal side lie in?

Accepted Answer

Quadrant III

Question 14

A central angle intercepts an arc of length $$3$$ units in a circle of radius $$3$$ units. What is the measure of the angle in radians?

Accepted Answer

$$3$$ radians

Question 15

Which of the following is the correct conversion from $$120^\circ to $$radians?

Accepted Answer

$$\frac{2\pi}{3}$$

Question 16

Which of the following angles is coterminal with $$\frac{7\pi}{3}$$?

Accepted Answer

$$\frac{\pi}{3}$$

Question 17

A medical imaging device rotates $$-\frac{\pi}{2}$$ radians. What is the equivalent angle in degrees?

Accepted Answer

$$-90^\circ$$

Question 18

Which of the following is the least non-negative coterminal angle for $$-315^\circ$$?

Accepted Answer

$$45^\circ$$

Question 19

A central angle measures $$\frac{11\pi}{3}$$ radians. What is its least non-negative coterminal angle in radians?

Accepted Answer

$$\frac{5\pi}{3}$$

Question 20

Which of the following statements about angles in standard position is correct?

Accepted Answer

The initial side always lies along the positive x-axis.

Angles, Degree and Radian Measure, and Coterminal Angles

Study Guide - Practice Questions