OBJ: SWBAT USE THE FORMULA FOR CIRCUMFERENCE, USE ARC LENGTHS TO FIND MEASURES AND SOLVE REAL-LIFE PROBLEMS. 11.1 Circumference and Arc Length.

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Presentation transcript:

OBJ: SWBAT USE THE FORMULA FOR CIRCUMFERENCE, USE ARC LENGTHS TO FIND MEASURES AND SOLVE REAL-LIFE PROBLEMS Circumference and Arc Length

Circumference Distance around the circle Formula:

Example 1: Find each measure A. Circumference of a circle with radius of 9 cm. B. radius of a circle with a circumference of 26 m.

Example 2: Find each indicated measure A. circumference of a circle with radius of 11 in. B. diameter of a circle with circumference of 4 mm.

Arc Length A portion of the circumference of a circle Measure of an arc is in degrees, length in linear units Formula:

Example 3:

Example 4

Example 5

Example 6 The dimensions of a car tire are shown. To the nearest foot, how far does the tire travel when it makes 15 revolutions?

Example 7 A path is built around four congruent circular fields. The radius of each field is 100 feet. How long is the path? Round to the nearest hundred feet.