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# Notes on Arc Lengths and Areas of Sectors - PowerPoint PPT Presentation

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.

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### Notes on Arc Lengths and Areas of Sectors

Precalculus 5.1

***When using this formula, you must be in radians!!

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

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.

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’ ?

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

Remember:

***When using this formula, you must be in radians!!

ExamplesRemember:

ExamplesRemember: and