Finding Radian Measures of Special Angles

This lesson covers the radian measure of special angles, focusing on recognizing them as fractions or multiples of pi. It explains the concept of radian measure, the significance of pi radians, and how to find special angles in different quadrants using multiples of pi over 6 and pi over 4. The lesson also provides tips for memorizing these angles and demonstrates how to calculate the radian measure of 540 degrees without a calculator.

What is the radian measure of an angle when the arc length is half of the circle?

• 2 pi radians

• pi radians

• pi/2 radians

• 3 pi radians

Which of the following is the radian measure for 90 degrees?

• pi/6

• pi/3

• pi/4

• pi/2

How can you find the radian measure of special angles in other quadrants?

• By using multiples of pi/3 and pi/4

• By using multiples of pi/6 and pi/4

• By using multiples of pi/2 and pi/3

• By using multiples of pi/6 and pi/3

What is the first step in finding the radian measure of 540 degrees?

• Subtract 360 degrees from 540 degrees

• Add 180 degrees to 360 degrees

• Subtract 180 degrees from 540 degrees

• Add 360 degrees to 180 degrees

If 180 degrees is equivalent to pi radians, what is the radian measure of 360 degrees?

• 2 pi radians

• pi/2 radians

• 3 pi radians

• pi radians