Discovering Radians Activity Sheet

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Discovering Radians Activity
Supplies:
• Pre-cut circle from construction paper, or a paper plate
• String or heavy thread
• Ruler and protractor
• Scissors
Steps:
1. Using the string, measure the circumference of the circle (or paper plate). Record this length.
Circumference = ______________
2. Fold the circle (or paper plate) in half. Crease the fold line so that it can be clearly seen.
3. Fold the circle again into quarters. Crease the fold lines.
4. Open the circle. Using the ruler, draw line segments along the fold lines forming four
quadrants. Label the points on the edge of the circle that correspond to 0º, 90º, 180º and 270º.
5. The folding process has located the center of the circle. Use your string to measure the radius
of the circle. Cut the string to this length. Record this length.
Radius = ___________
6. Hold one end of the radius length string at the edge of the circle at 0º. Wrap the string around
the edge of the circle and mark its ending location. Connect this point to the center of the circle.
7. Using your protractor, find the number of degrees in the central angle formed from 0º to the
segment you drew in step 6. In terms of radians, this angle has a measure of one radian.
Record this answer.
1 Radian = __________˚
8. Using your radius length string, continue to wrap the string around the edge of the circle
marking its ending locations. Record the number of radian angles that will fit in the circle.
How many radian angles are in your circle? ___________
9. Ponder:
If the central angle has a radian measure of 2, what is the number of degrees in the angle?
2 radians = __________˚

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