Notes on Arc Lengths and Areas of Sectors

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Presentation transcript:

Notes on Arc Lengths and Areas of Sectors Precalculus 5.1

5.1

Examples

Examples

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

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

Examples

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.

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’ ?

Remember:

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

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

Examples Remember:

Examples Remember: and