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Fa Foundation Tier Formulae Sheet Perimeter, area and volume Where a and & are the lengths of the parallel sides and / is their perpendicular separation: Area of a trapezium = ; (at byh Volume of a prism = area of cross section x length Where r is the radius and d is the diameter: Circumference of a circle = 2zr = zd Area of a circle = ar Pythagoras’ Theorem and Trigonometry In any right-angled triangle where a, b and ¢ are the length of the sides and c is the hypotenuse: a@+b=c a In any right-angled triangle ABC where a, b and c are the length of the sides and ¢ is the hypotenuse: sin d=" cos A= 2 tan d=" b c c Compound Interest Probability Where P is the principal amount, r is the interest | Where P (4) is the probability of outcome 4 rate over a given period and nv is number of times | and P (8) is the probability of outcome B: that the interest is compounded: * P(A or B) =P (A) + P(B)— P(A and B) Total accrued = P [: +5) 
