Honors Geometry Formulas

Cylinder Volume

πr^2h

Cube Volume

s^3

Cone Volume

1/3πr²h or πr^2h/3

Pyramid Volume

1/3Bh or Bh/3

Prism Volume

B(Area of the base) x h(height)

Sphere Volume

4/3πr³

Prism S.A.

Sum area of polygon faces

Pyramid S.A.

Sum of polygon areas. The height of the triangle is l(slant).

Cone S.A.

πrl+πr² (l=slant height)

Cylinder S.A.

2πrh+2πr²(2 circles + curved rectangle)

Sphere S.A.

4πr²

Inscribed Angle Formula

arc/2 or 1/2 x arc

Central Angle =

Arc

Area of Sector

Area of a Sector = m/360 x πr²

Area of Circle

πr²

Circumference of a circle

2πr or πd

Area of Square

s²

Area of A Triangle

1/2bh

Area of Parallelogram or Rectangle

bh

Area of trapizoid

1/2(b1+b2)h

Area of Rhombus

A=1/2d1d2

Area of Regular Polygons

A=1/2Pa

Interior Angles

1/2sum of arcs

Exterior Angle

1/2 difference of the arcs

Sum of Interior Angles of a Polygon

180(n-2). n being the number of sides

One Interior Angle of regular Polygon

180(n-2)/n

Tangent Line and Radius angle measure

90 degrees

Sum of exterior angles of a polygon

360 degrees

One exterior angle of a regular polygon

360/n (n= number of sides)

Slope Formula

(y₂- y₁) / (x₂- x₁)

Midpoint formula

((x₁+x₂)/2, (y₁+y₂)/2)

average coordinates

Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

Exterior Angle of a triangle

sum of 2 remote interior angles

Equation of a circle

(x-h)²+(y-k)²=r²