Areas of Polygons 11.3. FORMULAS Rhombus: (1/2)d d Kite: (1/2)d d.

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Presentation transcript:

Areas of Polygons 11.3

FORMULAS Rhombus: (1/2)d *d Kite: (1/2)d *d

Find the approximate area, to the nearest tenth, of the rhombus below. 12 in 20 in

Find the approximate area, to the nearest tenth, of the kite below. 8 in 16 in 6 in

 Apothem of a polygon – Distance from the center to the middle of any side of a polygon. The apothem bisects the central angle.  Central angle of a regular polygon – Angle formed by two lines from the center to consecutive vertices of a polygon. The measure of the central angle is 360/number of sides.

Area of a regular polygon a = apothem P = perimeter of the polygon

Find the area of the regular hexagon 6 in

Find the area of the regular pentagon 4 in 5 in

Find the area of the regular octagon 8 yd

Find the area of the regular hexagon 10 cm

Practice p. 620: 3-6, 19-22, 27