11.5 Sectors and Arc Lengths

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

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

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 –

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

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.

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

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?

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 –