Formulas for GCSE Maths

y=mx+c

(AxA)+(BxB)=(CxC)

In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

area = 1/2 x base x height

or

area = 1/2absinC (a and b are lengths, C is the angle of the connected lengths)

area = 1/2(a+b)x height (a and b are the two parrallel lengths)

Circumference = πd or 2πr

area = πr squared

arc length, l = θ/360 x 2πr

Sector area, A = θ/ x πr squared

volume of a prism = (area of cross section) x length

e.g. volume of a cylinder = πr squared x length

volume = 1/3(basexarea) x height

volume = 4/3 π r cubed

surface area = 4πr squared

volume = 1/3 πr squared x height

surface area = πr x length

e.g. cos24(given angle) = x/91(given lenth)

91cos24=x

e.g. 3.2/4 =sin x

0.8 = sin x

-sin (0.8) = x

e.g. sin x(missing anlge)/19(opposite length) = sin 60(given angle)/17(opposite length)

sin x = 19 sin 60/17

sin x =0.96....

x = - sin of ANS(0.96...)

x[wanted length] squared = a[first length] squared + b[second length] squared - (2 x a x b x cos c[only given angle])

e.g. x squared = 22 squared x 23 squared - ( 2 x 22 x 23 x cos 48)

x squared = 335.8

x = sqaure root of 335.8

x = 18.33

The angle at the centre of the circle is twice that of the angle at the circumference.

Opposite angle of a cyclic quadrilateral add up to 180 degrees.

The angle between a tangent and the radius drawn to the point of contact is 90 degrees.

From any point outside a circle just two tangents to the circle may be drawn and they are the same length.

The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alterate segment.

Angles subtended by an arc in the same segment of a circle are equal.

x = [-b +or- the square root (b squared - 4ac)] divided by 2a

e.g. 2x squared +23 x - 17

a = 2

b = 23

c = -17