### All High School Math Resources

## Example Questions

### Example Question #31 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The ratio between radians and degrees is radians.

That means we can set up a proportion:

Notice that the 's cancel out.

### Example Question #32 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The conversion rate for degrees and radians is .

Set up a proportion to solve.

Cross multiply.

Notice that the cancels out.

### Example Question #33 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

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

Notice that the 's cancel out.

### Example Question #34 : The Unit Circle And Radians

How many radians are in ?

**Possible Answers:**

**Correct answer:**

The relationship between degrees and radians is . We can set this up as a proportion to solve:

### Example Question #35 : The Unit Circle And Radians

Convert to radians.

**Possible Answers:**

**Correct answer:**

Multiply the given degrees measurement by .

Simplify and you get .

### Example Question #36 : The Unit Circle And Radians

Convert to degrees.

**Possible Answers:**

**Correct answer:**

Multiply by and then simplify. The answer is .

### Example Question #37 : The Unit Circle And Radians

How many radians are in ?

**Possible Answers:**

**Correct answer:**

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

### Example Question #38 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The conversion between radians and degrees is . We can use this as a ratio to solve:

Cross multipy.

Notice that the 's cancel out.

### Example Question #39 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The conversion between radians and degrees is . We can then create a ratio to solve:

Cross multipy:

Notice that the 's cancel out.

### Example Question #40 : The Unit Circle And Radians

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

**Possible Answers:**

**Correct answer:**

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:

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