1. 11.5 Sectors and Arc Lengths
Learning Objective: To find lengths of arcs and areas of sectors.
Warm-up (IN)

2. Learning Objective: To find lengths of arcs and areas of sectors.
Notes
Ex 1 – Which pizza is a better deal, if bought by the slice?
10-in $8.00
16-in $14.00

3. Learning Objective: To find lengths of arcs and areas of sectors.
A region of a circle bounded by 2 radii and an arc of the circle
Area of a Sector –

4. Learning Objective: To find lengths of arcs and areas of sectors.
EX 2 – Find the area of the shaded region

5. Learning Objective: To find lengths of arcs and areas of sectors.
EX 3 – The area of the shaded sector is and
. Find the circumference of the circle.

6. Learning Objective: To find lengths of arcs and areas of sectors.
Distance from one point to another along the circle
Length of an Arc –

7. Learning Objective: To find lengths of arcs and areas of sectors.
EX 4 – An irrigation system uses a moving arm that is 1200 ft long. The end of the arm must trace an arc that is 6300 ft long. Through what angle should the arm rotate?

8. Out – Which is longer, a 50° arc in a circle of radius 7cm, or a 50° arc in a circle of radius 12cm? Explain.
Summary – I have a question about…
HW –