7-6 Circles & Arcs 7-7 Area of Circles and Sectors.

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Presentation transcript:

7-6 Circles & Arcs 7-7 Area of Circles and Sectors

Vocabulary

Central Angle – angle whose vertex is the center of the circle <BAF, <FAE

Vocabulary & Formulas Concentric Circles – circles that have same center. Circumference – distance around circle C = 2  r or C = d  Area A =  r 2

Length of an Arc: what’s the formula?

Formulas Measure of an arc is always in degrees measure of arc = central angle Arc Length is always in dimensions 2  r

Area of Sector: What is the formula?

Formula Area of a Sector A =  r 2

Formula Area of a segment 1)Find area of Sector 2)Find area of Triangle 3)Area of Segment = area of sector minus area of triangle

Examples

1)If KJ = 5 find the area of circle K. 2)If = 120 and KL = 6, what is the area of sector JKL? 3) If m<JKL = 135 and KJ = 2, what is the area of sector JKL?

Examples: Find area of segment.