1. 10-1/10-2 Circumference and Measuring Angles & Arcs
Vocab:
Circle: The set of all points equidistant from a given point
Radius: A segment with endpoints at the center and on the circle
Chord: A segment with endpoints on the circle
Diameter: A segment with endpoints on the circle that passes through the center
Arc: A portion of a circle defined by endpoints and a central angle
Semicircle: Half a circle

2. Finding Circumference
C = πd
Ex 1: Find the circumference of a circle with diameter 12
Ex 2: Find the diameter and radius of a circle with circumference

3. Finding Measure of Central Angles
The measure of a circle is 360°
𝐴𝐶 and 𝐸𝐵 are diameters of ⨀R. Identify each arc as a major arc, minor arc, or semicircle of the circle. Then find its measure.
Ex 3: m 𝐸𝐴
Ex 4: m 𝐶𝐷𝐴

4. Real World Problem
Ex 5: Yolanda has divided a circular apple pie into 4 slices by cutting the pie along 4 radii. The central angles of the 4 slices are 3x, 6x – 10, 4x + 10, and 5x degrees. What exactly are the numerical measures of the central angles?

5. Classwork/Homework
P even, p even