1. 6.1.5 – Sector Areas

2. With a circle, we have so far calculated:
Arc Length = rϴ
Angular Speed (ω) = ϴ/t
Linear Speed = rω

3. Say now we choose a slice of the circle formed once again by the angle ϴ
Sector = portion of a circle between two radii
Remember, the area of a circle = πr2

4. Sector Area
The area of a sector, A, with the central angle ϴ and radius r is:
A =

5. Example. Find the area of the sector of a circle with a radius of 10in and a central angle of 1200
ϴ must be in radians

6. Example. A circular game board has 6 equal wedges
Example. A circular game board has 6 equal wedges. If the radius of the whole board is 5 in, what is the area formed by 2 wedges?

7. Example. A pizza with a radius of 1. 5 feet is cut into 9 equal pieces
Example. A pizza with a radius of 1.5 feet is cut into 9 equal pieces. What is the area of each piece in inches?

8. Assignment
Pg. 469
87-94 all