Math formulas and vocab

A full circle measures

360 degrees

linear combos (aka semicircles) add up to

180 degrees

The addition postulate

part + part = whole

the subtraction postulate

(whole-part = other part)

a bisector

splits the angle or segment into 2 congruent or equal parts

a midpoint

is located in the exact middle of a segment, splitting it equally

perimeter

total length around a closed region

circumference formula

c=2πr

arc length (s formula)

θ/360 × 2 x π x r

A of a square

b squared

Area of a rectangle/ parallelogram

bh

Area of a triangle

½ bh

Area of triangle if no right angle/height is given

½ ab sin(θ)

Area of a circle

πr squared

Area of a sector

θ/360 x πr squared

Volume of a cube

b cubed

Volume of a prism

Bh (B is the area formula for whatever 2D base shape the prism is named after)

Volume of a cylinder

πr squared h

Volume of a pyramid

1/3 Bh (B is the area formula for whatever 2D base shape the prism is named after)

Volume of a cone

1/3 πr squared x h

V sphere

4/3 πr cubed

Volume of a hemisphere (half-sphere)

2/3 πr cubed