Geo Stat Test Chapters 11/12 Formulas

Area of a Triangle

A=(1/2)bh

Area of an Equilateral Triangle

A=(s²root3)/4

Heron’s Formula

A=square root s(s-a)(s-b)(s-c)

Semiperimeter for Heron’s Formula

S=(a+b+c)/2

Area of a Cyclic Quad(Brahmagupta’s Formula)

A=square root (s-a)(s-b)(s-c)(s-d)

Semiperimeter for Area of a Cyclic Quad(Brahmagupta’s Formula)

S=(a+b+c+d)/2

Area of a Rectangle

A=lw

Area of a Square

A=s²

Area of a Parallelogram

A=bh

Area of a Trapezoid

A=(1/2)(b₁+b₂)h

Area of a Circle

A=pie r²

Circumference of a Circle

C=2pie r=pie d

Arc Length

(l/(2pie r))=x/360

Area of Sector

(A/(pie r²))=x/360

Area of Quadrilaterals With Perpendicular Diagonals

A=(1/2)(d₁)(d₂)

Area of Regular Polygon

A=(1/2)ap=(1/2)ans

Volume of a Prism

V=Bh

Total Surface Area of a Prism

TSA= number of sides (lw)+2B

Volume of a Pyramid

V=(1/3)Bh

Total Surface Area of a Pyramid

TSA=2 number of sides((1/2)bh)+ B

Volume of a Cylinder

V=pie (r²)h

Total Surface Area of a Cylinder

TSA=2pie rh+2pie (r²)

Volume of a Cone

V=(1/3)pie (r²)h

Total Surface Area of a Cone

TSA=pie rl+pie (r²)

Volume of a Sphere

Total Surface Area of a Sphere

TSA=4pie(r²)