Arcs, Sectors, Segments. Finding the length of Arcs Look back in your notebook and find the formula for arc length Look back in your notebook and find.

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Presentation transcript:

Arcs, Sectors, Segments

Finding the length of Arcs Look back in your notebook and find the formula for arc length Look back in your notebook and find the formula for area of a sector Look back in your notebook and find the formula for segment area

Arc Length Example -- 1 D H T Find the length of arc DT 85 o 4.2

Sectors Example -- 1 D H T Find the area of the sector created by arc DT 85 o 4.2

Segment Example -- 1 D H T Find the area of the segment created by arc DT 85 o 4.2

Arc Length Example -- 2 D H T Find the length of arc DT 110 o 6

Sector Example -- 2 D H T Find the area of the sector created by arc DT 110 o 6

Sector Example -- 2 D H T Find the area of the segment created by arc DT 110 o 6

Segment Area Examples--3 D H Find the area of the segment 270 o 11 in R

Word Problems A circle has an arc length of The central angle is 55 degrees, find the diameter.

Word Problems A circular plot with a 720 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 50 o

Word Problems The diameter of the orange slice (shown) is 18 centimeters. If each of the orange’s 10 sections are congruent, find the (approximate) area covered by 4 sections.