Year 10 Measurement Formulas

mm - cm perimeter

10

cm - m perimeter

100

m - km perimeter

1000

perimeter of circle

2πr or πd

Arc Length

θ°/360 × 2πr

Sector

2r + θ°πr/180

Area of Triangle with a known angle

½ bh

Any triangle - Heron’s formula

√s(s-a)(s-b)(s-c) where s= ½ (a+b+c)

Triangle with two sides and the included angle

½ × a × b × sin(C)
c is the angle between a and b

area of rectangle

lw

area of trapezium

1/2(a+b)h

area of parallelogram

bh

area of rhombus

1/2 xy
where x and y are diagonal

area of circle

πr²

Area of sector (minor)

r²(πθ°/360°−sin(θ°/2) cos(θ°/2))

Elipse

πab

volume of cube, rectangle, cylinder, triangular prism

Base area × height

Volume of cone and square based pyramid

1/3 Base area × height

Volume of sphere

4/3 πr³

TSA of sphere

4πr²

1cm³

1ml

1000cm³

1L

1m³

1000 L