Candide Polygon Portfolio

Gregory WilliamsPeriod 6

Convex PolygonAreaBase x Height1.9 x 5.911.21 cm squared

• A Convex Polygon is a polygon with all its interior angles less than 180 degrees meaning that all the vertices of the polygon will point outwards, away from the inside of the shape.

• A convex polygon is used as the red left arm on Candide

Perimeter2(B + H)2(1.9 + 5.9)2(7.8)15.8 cm

Concave PolygonPerimeter(Add sides)1.2+1.2 + 0.8 + 0.7 + 1.3 + +1.3 + 1.5 +2.8 +2.213 centimeters

• A concave polygon is a polygon with one or more interior angles greater than 180 degrees. (Forming a cave)

• A concave polygon is orange on the right side of Cunegonde’s dress.

Right Triangle Area½(B x H)½(3.3 x 1.6)½(5.28)2.64 cm squared

• A right triangle is a 3-sided polygon that forms a right angle.

• A right triangle is used as the orange ray by the sun.

Perimeter(a+b+c)2.3 + 2.3 + 3.37.9 cm

Scalene TriangleArea½(b x h)½(1.8 x 0.7)½(1.26)0.63 cm squared

• A Scalene triangle is a 3-sided polygon with no equal sides

• A Scalene triangle is used as the red ray by the sun

PerimeterA+b+c1+1.5+1.84.3 cm

RectangleAreal x w3.3 x1239.6 cm squared

• A rectangle is a 4 sided Polygon with 4 90 degree angles

• A rectangle is used as the light brown tree trunk

Perimeter2(l+w)2(3.3 +12)2(15.3)30.6 cm

ParallelogramAreaB x h3 x 26 cm squared

• A parallelogram is a 4-sided polygon with opposite sides parallel

• A parallelogram is used as Cunegonde’s red right shoe

Perimeter2(b + h)2(3 + 2)2(5)10 cm

TrapezoidArea½(b1 + b2)h½(.6 +1.9)1.8½(2.5)1.8(1.25)1.82.25 cm squared

• A trapezoid is a quadrilateral with one pair of parallel sides

• A trapezoid is used as Cunegonde's black neck

PerimeterA+b1+c+b22.1+.6+2.1+1.86.7 cm

PentagonPerimeterA+b+c+d+e1.6+1.7+1.1+1.4+1.27 cm

• A Pentagon is a 5-sided polygon

• A pentagon is used as a whole in the tree

HexagonPerimeter(Add sides)1.9+4+2+1.8+3.5+5.819 cm

• A Hexagon is a 6-sided polygon

• A hexagon is used as Candide’s right yellow leg

HeptagonPerimeter(Add sides)5.8+3.6+2.1+1+1.1+4.3+1.519.4 cm

• A Heptagon is a 7-sided polygon

• A heptagon is used a Candide’s yellow left leg

OctagonPerimeter(Add Sides)2.6+1.7+2.4+2.1+2.8+2.2+2.6+2.218.6 cm

• An Octagon is a 8-sided polygon

• An octagon is used as Cunegonde’s blue head

Nonagon

Perimeter(Add sides)1.2+1.2 + 0.8 + 0.7 + 1.3 + +1.3 + 1.5 +2.8 +2.213 centimeters

• A Nonagon is a 9-sided polygon

• A nonagon is used on the left side of Cunegonde’s dress

DecagonPerimeter(add sides)1.8 +1.5+1+1.6+1.9+1.4+1.4+1.7+1.1+1.414.8 cm

• A Decagon is a 10-sided polygon

• A decagon is used as Cunegonde’s pink hair

Regular Polygon #1AreaAny Side x Any side1.7 x 1.72.89 cm squared

• A Regular Polygon is a Polygon with equal sides

• A Square is a rectangle with equal sides

• Candide’s right red arm is both a Regular Polygon and a square

Perimeter4(Any side)4(1.7)6.8 cm

Regular Polygon #2AreaAny Side x Any side8 x 864 cm squared

• A Regular Polygon is a Polygon with equal sides

• A Square is a rectangle with equal sides

• Candide’s brown stomach is both a regular polygon and a square

Perimeter4(Any side)4(8)32 cm

Circle #1 Perimeter/CircumferencePie x diameter3.14 x 7.623.864 cm

• A Circle is a shape that has no strait sides or any angles

• A circle is used as the green part on top of the tree

AreaPie x radius squared3.14(3.8 x 3.8)3.14(14.44)45.3416 cm squared

Circle #2AreaPie x radius squared3.14(2.25x2.25)15.89625 cm squared

• A Circle is a shape that has no strait sides or any angles

• A circle is used as the yellow sun

Perimeter/CircumferencePie x diameter3.14 x 4.514.13 cm