New GCSE Maths required formulae

Quadratic Formula - solve:

\(a\)\(x^2\)+\(b\)\(x\)+\(c\)=\(0\)
where \(a\) \(\neq\) \(0\)

Circumference of a Circle:

Area of a Circle:

Pythagoras theorem
In any right-angled triangle where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:

Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(sinA\)=

Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(cosA\)=

Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(tanA\)=

Sine Rule:

Cosine Rule:

Trigonometry: Area of a Triangle

Area of a Trapezium=
(Where \(a\) and \(b\) are the lengths of the parallel sides and \(h\) is their perpendicular separation)

Volume of a Prism:

Compound interest: Where \(P\) is the principal amount, \(r\) is the interest rate over a given period and \(n\) is number of times that the interest is compounded,
Total accrued=

Where P(A) is the probability of outcome A and P(B) is the probability of outcome B:
P(A or B) =

Where P(A) is the probability of outcome A and P(B) is the probability of outcome B:
P(A and B)

Curved surface area of a cone:

Surface area of a Sphere:

Volume of a Sphere:

Volume of a Cone:

Final Velocity \(v\):

Displacement \(s\):

Velocity \(v\)\(^2\):