# 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.