# Arcs and Sectors - video

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Sector Area and Arc Length

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Math Skills & Tools In the Class Work section of your binder: Add some skills and tools that you can later use to solve any math problem!

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Circle Vocabulary arc sector chord segment

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Finding the Length of an Arc C = 44 An arc is just PART of the distance around a circle. About how long is the arc? AB = 11 A B

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Finding the Length of an Arc One time around a circle = 360° 120 ° What portion of the distance around the circle have we gone? 1/3 of the way

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EXAMPLE: Arc Length Find the length of the arc. Step 1: Find the circumference. A B 105 ° C = 2 r 8cm. C = 2(3.14)(8) C = 50.24 cm.

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EXAMPLE: Arc Length Find the length of the arc. Step 2: Find the portion of the circumference that is covered by the arc. A B 105 ° 8cm. = .29

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EXAMPLE: Arc Length Find the length of the arc. Step 3: Multiply the circumference by the arc portion. A B 105 ° 8cm. AB = (50.24)(.29) AB = 14.57 cm.

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Just did: how long is that arc ? Now: what is the area of that sector ?

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EXAMPLE: Sector Area Find the area of the sector. Step 1: Find the area. M F 153 ° A = r 2 24cm. A = (3.14)(24) 2 A = 1808.64 cm 2 C

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EXAMPLE: Sector Area Step 2: Find the portion of the area that is covered by the sector. = .425 Find the area of the sector. M F 153 ° 24cm. C

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EXAMPLE: Sector Area Step 3: Multiply the circumference by the arc portion. sector FCM = (1808.64)(.425) Sector FCM = 768.672 cm 2 Find the area of the sector. M F 153 ° 24cm. C

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