LECTURE8-2

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Lesson 8-2:

Lesson 8-2: Formulas 1 Lesson 8-2 Formulas Circumference Arc Length Area Sector

Central Angle:

Lesson 8-2: Formulas 2 Central Angle A central angle is an angle whose vertex is at the center of the circle. The measure of a minor arc is the measure of its central angle. The measure of a major arc is 360 minus the measure of its central angle. The arc measure is written as

CIRCUMFERENCE::

Lesson 8-2: Formulas 3 CIRCUMFERENCE: Circumference is the distance around the circle. Formula: Or Example: Find the circumference of the following circle. 3 cm cm where

Arc Length:

Lesson 8-2: Formulas 4 Arc Length Arc length is the distance around an arc. The circumference multiplied by the ratio of the center angle and 360°. Formula: Example: 2 cm 72 ° B C A Arc Length

Area of a Circle:

Lesson 8-2: Formulas 5 Area of a Circle Area of a circle is the number of unit squares that can fit into a circle. Example: Find the area of the following circle. 3 cm Formula:

Area of a Sector:

Lesson 8-2: Formulas 6 Area of a Sector Area of a sector is the area of a section of the circle. The area multiplied by the ratio of the center angle and 360° Formula: Example: 65 ° Sector

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