High School Math : Trigonometry

Example Questions

Example Question #1801 : High School Math

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 #35 : Understanding Radians And Conversions

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 #35 : Understanding Radians And Conversions

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 #73 : Trigonometry

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 #41 : 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.

Example Question #51 : The Unit Circle And Radians

If an angle is , 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 #71 : Trigonometry

How many radians are in ?

Explanation:

The ratio of angles to radians is . Set up a proportion and solve.

Example Question #41 : Understanding Radians And Conversions

Bob manages a pizza store. He bought a new machine that tracks how big his employees are cutting the pizza slices. The machine measures the average angle size of each slice of each pizza. Unfortunately, the angle is given as 0.7854 radians which Bob does not understand. Help Bob by converting the radian angle into degrees. In degrees, what is the size of the angle for an average pizza slice.

Explanation:

To convert we use a common conversion amount. It may be easiest to remember the full circle example. In degrees, a full circle is  around. In terms of radians, a full circle is . So to get our answer

Example Question #51 : The Unit Circle And Radians

Explanation:

To convert from degrees to radians, one multiplies by .

Example Question #51 : The Unit Circle And Radians

How many radians are in ?