May 1, 2017 Area of Regular Polygons

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Presentation transcript:

May 1, 2017 Area of Regular Polygons Geometry May 1, 2017 Area of Regular Polygons

Do Now Determine the area of each shape A rectangle with sides of 7 and 12 A right triangle with legs of 9 and 10 A parallelogram with a base of 14 and an altitude of 12 A trapezoid with bases of 10 and 14 and an altitude of 3. A kite with diagonals of 13 and 12.

I can determine the area and volume of basic shapes and solids. Chapter Objective I can determine the area and volume of basic shapes and solids.

Today’s Objectives Area of rhombuses and kites (practice) Area of regular polygons

AREA FORMULAS

Basic Parts REGULAR POLYGON: All sides congruent, all angles congruent RADIUS: Distance from CENTER to VERTEX APOTHEM (INRADIUS): Distance from CENTER to SIDE

Angle Sizes 𝑚∠1= 360° 𝑛 𝑚∠2= 𝑚∠1 2 𝑚∠3=90°−𝑚∠2

Angle Sizes 𝑚∠1= 𝑚∠2= 𝑚∠3=

Angle Sizes 𝑚∠1= 𝑚∠2= 𝑚∠3=

Angle Sizes 𝑚∠7= 𝑚∠8= 𝑚∠9=

Area of a Regular Polygon 𝐴= 𝑎𝑝 2 = 𝑛𝑠𝑎 2 a = apothem p = perimeter s = side length n = number of sides

Area of a Regular Polygon 𝐴= 𝑎𝑝 2 = 𝑛𝑠𝑎 2

Area of a Regular Polygon 𝐴= 𝑎𝑝 2 = 𝑛𝑠𝑎 2