10-7 Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles.

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10-7 Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles

base = ½ of circumference of circle height =radius of circle Parallelogram A = bh A =½ (2πr) r A = πr 2 The area of a circle is given by the formula _________, A = πr 2 so… where A is the area and r is the radius of the circle.

Parts of a circle Sector of a circle: The region between two radii of a circle and the included arc Segment of a circle: The region between a chord of a circle and the included arc

Area of the parts SectorSegment a0a0 a0a0 r r h b Area of a Segment is the area of a sector minus the area of a triangle.

Examples: Find area of the shaded region cm 6 cm p.663: 7, 9, 14, 16, 18, 20, 22-24