Central and Inscribed Angles
Explore :
Take a few minutes to change the angles in the following circle. Think about any patterns you may recognize or anything that changes or stays the same in the circle.[br][br][size=100][size=85]-[i] Drag points B, C and D to change the figure.[br][br]- Drag the slider that controls radius to change the size of the circle.[br][br]- Check boxes to view measure of central and inscribed angles. [br][/i][/size][/size]
1. What do you notice when you move either point C or B? What happens to the two arcs ?
2. What happens when you make the radius bigger? what about smaller ? Why do you think that is?
3. What is the relationship between the inscribed angle and the central angle in a circle ?
4. What is the relationship between the inscribed angle and its intercepting arc?
5. What is the relationship between the central angle and its intercepting arc?
Use the image above
6. What is the value of m< DEF ?
Use the image above
7. What is the value of the inscribed angle ?
use the image above
8. What is the measure of arc PQ?
9. The image below is an example of a central angle. (TRUE or FALSE)
10. The image below is an example of a central angle ? (TRUE or FALSE)
