# High School Math : The Unit Circle and Radians

## Example Questions

### Example Question #41 : The Unit Circle And Radians

If angle equals , what is the equivalent angle in radians (to the nearest hundredth)?      Explanation:

To convert between radians and degrees, it is important to remember that: With this relationship in mind, we can convert from degrees to radians with the following formula: ### Example Question #42 : The Unit Circle And Radians

If equals , what is the equivalent angle in radians (to the nearest hundredth)?      Explanation:

To convert between radians and degrees, it is important to remember that: With this relationship in mind, we can convert from degrees to radians with the following formula: ### Example Question #43 : The Unit Circle And Radians

If is , what is the equivalent angle in radians (to the nearest hundredth)?      Explanation:

To convert between radians and degrees, it is important to remember that: With this relationship in mind, we can convert from degrees to radians with the following formula: ### Example Question #44 : The Unit Circle And Radians

If an angle is , what is the equivalent angle in radians (to the nearest hundredth)?      Explanation:

To convert between radians and degrees, it is important to remember that: With this relationship in mind, we can convert from degrees to radians with the following formula: ### Example Question #45 : The Unit Circle And Radians

What angle below is equivalent to ?      Explanation:

To convert between radians and degrees, it is important to remember that: With this relationship in mind, we can convert from degrees to radians with the following formula: ### Example Question #46 : The Unit Circle And Radians

If an angle is 2.43 radians, what is the equivalent angle in degrees?      Explanation:

To answer this question, it is important to remember the relationship: From here, we can set up the following formula: Multiplying across, we see that the units of radians cancel out and we are left with units in degrees.

### Example Question #47 : The Unit Circle And Radians

If an angle equals 5.75 radians, what is the equivalent angle in degrees?      Explanation:

To answer this question, it is important to remember the relationship: From here, we can set up the following formula: Multiplying across, we see that the units of radians cancel out and we are left with units in degrees.

### Example Question #48 : The Unit Circle And Radians

If an angle equals 15.71 radians, what is the equivalent angle in degrees?      Explanation:

To answer this question, it is important to remember the relationship: From here, we can set up the following formula: Multiplying across, we see that the units of radians cancel out and we are left with units in degrees.

### Example Question #49 : The Unit Circle And Radians

If an angle equals 6.4 radians, what is the equivalent angle in degrees?      Explanation:

To answer this question, it is important to remember the relationship: From here, we can set up the following formula: Multiplying across, we see that the units of radians cancel out and we are left with units in degrees.

### Example Question #50 : The Unit Circle And Radians

If an angle is 3.55 radians, what is the equivalent angle in degrees?      Explanation:

To answer this question, it is important to remember the relationship: From here, we can set up the following formula: Multiplying across, we see that the units of radians cancel out and we are left with units in degrees. 