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Notes on Arc Lengths and Areas of Sectors Precalculus 5.1

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5.1

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Examples

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Examples

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II. Arc Lengths ***When using this formula, you must be in radians!!

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Examples: Find the length of the arc intercepted by a central angle having each of the following measures.

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Examples

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Word Problems Reno, NV, is due north of Los Angeles. The latitude of Reno is 40 N, while the latitude of Los Angeles is 34 N. If the radius of the Earth is 6400 km, find the north-south distance between the two cities.

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Word Problems Given the picture of the pulley with the weight, answer the following: How many inches will the weight rise if the pulley is rotated through an angle of 71 50 ?

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Remember:

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PART B: Through what angle, to the nearest minute, must the pulley be rotated to raise the weight 6 in? Remember:

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III. Areas of Sectors ***When using this formula, you must be in radians!!

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Examples Remember:

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Examples Remember: and