Geometric Formulas Two-Dimensional Objects Rectangle/Square ``ww P= 2`+ 2w A=`w Triangle hbac P=a+b+c A= 1 2 bh Circle r C= 2r A=r 2 Parallelogram aabbh P= 2a+ 2b A=bh Trapezoid a1a2b2b1h P=a1+a2+b1+b2 A= 1 2 h(b1+b2) Regular Polygon sa n= number of sidess=length of sides a=apothem (the radius of inscribed circle) P=ns A = 1 2 Pa Sum of Interior Angles= (n2)180
Interior Angle= (n2) n 180
a= 1 2 scot 180
n 1
Three-Dimensional Objects Rectangular Box/Cube `wh V=`wh S:A:= 2`w+ 2wh+ 2`h Sphere r V= 4 3 r 3 S:A:= 4r 2 Cylinder rh V=r 2 h S:A:= 2r 2
- 2rh
Cone hrs V= 1 3 r 2 h S:A:=r 2 +rs Pyramid absh B=ab(area of the base) s= height of the triangle face P= 2a+ 2b(perimeter of the base) V= 1 3 Bh S:A:= 1 2 Ps+B Right Prism h B= (area of the base) P= (perimeter of the base) S:A:= 2B+Ph V=Bh 2