Name:



Equation of a Circle Notes

where (h, k) is the _____________ and r is the __________

EXAMPLE:

1. What is the center and radius of the following circle? 2. Write the equation for the following circle.

Center = ____________

Radius = ___________

3. Given a radius of (-2, 12) and a radius of 11 write the equation of the circle.

Central Angle Notes

The measure of a central angle is ____________ the measure or the intercepted arc created by the angle.

The total number of degrees in a circle is _____________.

The total number of degrees in a semicircle is _________.

Together we will answer the following questions.

Use the picture below for the example questions. Tell whether each arc is a major arc, minor arc, or a semi-circle. Then, find the degree measure of each arc. BD is a diameter and CD is an angle bisector.

Ex 1: [pic]

Ex 2: [pic]

Ex 3: [pic]

Ex 4: [pic]

Ex 5: [pic]

Ex 6: [pic]

Ex 7: [pic]

Introduction to Circles Worksheet

I. Use the picture at the right to answer the following questions.

1. Diameter ________

2. Radius ________

3. Chord ________

4. Tangent ________

5. Minor Arc ________

6. Major Arc ________

7. Interior Point ________

8. Point on the Circle ________

9. Exterior Point ________

10. Center Point ________

11. Central Angle ________

12. Inscribed Angle ________

13. Interior Angle ________

14. Exterior Angle ________

II. Use the picture below for questions 1-10. [pic]is a diameter and [pic] is an angle bisector. Find the degree measure of each arc and then tell whether each arc is a major arc, minor arc, or a semi-circle.

[pic]

III. Use the picture below to answer questions 11 -20. [pic]and [pic] are diameters of the circle.

11. 16.

12. 17.

13. 18.

14. 19.

15. 20.

III. Find the center and radius from each equation.

21. [pic] 22. [pic]

23. [pic] 24. [pic]

IV.

7. 8.

9. 10.

The relationship between an inscribed angle and its intercepted arc can be written two ways:

Angle measure = ______________ OR Arc measure = _______________

EXAMPLES:

1:[pic]=_________ 2: [pic]=_________

3: [pic]=_________ 4: [pic]=_________

5. [pic]=_________ 6. [pic], [pic]

Inscribed Worksheet

I. Identify each picture as showing a central angle, inscribed angle, interior angle, or exterior angle.

1. ______________ 2.______________ 3.______________

4. ______________ 5.______________ 6.______________

III. Solve for the missing arc measure of angle measure.

7. m ................
................

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