1. Arcs & Angles Chapter 10

2. Draw & Label Central Angle Minor Arc Major Arc k

3. Central Angles f Every central angle has a corresponding arc. Thus, the measure of an arc is equal to its corresponding central angle.

4. Inscribed Angles Inscribed angle – an angle whose vertex is on a circle and whose sides contain chords of the circle. Intercepted arc – the arc that lies in the interior of an inscribed angle and has endpoints on the angle. f

5. Measure of an Inscribed Angle If an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc.

6. IN OTHER WORDS…. To find the angle of the ARC (when you are given the measure of the inscribed angle) …. MULTIPLY BY 2!! To find the measure of the INSCRIBED angle (when you are given the arc angle) …. DIVIDE BY 2!!

7. Example 1: Find X.

8. Example 2: Find the measure of arc PQ.

9. Right Triangles Inscribed If a right triangle is inscribed in a circle, then the hypotenuse is a diameter of the circle.

10. Two Inscribed Angles If two inscribed angles of a circle intercept the same arc, then the angles are congruent.

11. Turn to page pg. 588 Work problem 10-16 Do a – f TURN in for a GRADE! Start on worksheet and finish for homework. I will be checking this tomorrow. OMIT # 18 You will have 2 homework grades tomorrow!