Unit 11: Area of Geometric Shapes

• Triangles: ½ Bh

• Parallelograms: Bh

• Trapezoids: ½ (b1+b2)h

• Rhombus/Kites: 1/2(d*d)

• Circles: pi r squared

• Polygons: ½ ap

Unit 12 - Surface Area

• Prisms:

• LSA- ph

• TSA- ph + 2b

• Cylinders:

• LSA- 2pi rh

• TSA- 2 pi rh + 2 pi r squared

• Pyramids:

• LSA- ½ pl

• TSA- ½ pl + b

• Cones:

• LSA- pi r l

• TSA- pi r l + pi r squared

• Spheres

• TSA- 4 pi r squared

• 1/2- 3 pi r squared

Volume Formulas:

• Cylinder: V = πr²h

• Prism: V = Bh (B = base area)

• Pyramid: V = (1/3)Bh

• Cone: V = (1/3)πr²h

• Sphere: V = (4/3)πr³

Unit 13 - Circles Notes:

• Arc Length Formula: arc/360 = x/pi d

• Sector Area Formula: arc/360 = x/pi r squared

• Segment Area Formula: sector area - triangle area

• Properties of Radii and Chords: Equal chords have equal arcs

• Properties of Tangents: Tangents from a point are equal in length