Complete Math Formulas!

it has all the different formulas u need for math extended for IGCSE Cambridge University

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Math Formulae:
actual prof it
percentage profit = original cost ×100
actual loss
percentage loss = original cost ×100
principal×rate×time
simple interest = 100
amount = principal + interest
rate time
amount = principal×(1 + 100 )
distance = speed×time
x2 - y2 = (x + y)(x - y)
-b±b2-4ac
F or ax2 + bx + c, x = 2a
area of rectangle = length×width
1
area of trapezium = 2 ×sum of parallel sides×height
1
area of kite = 2 ×product of diagonals
1
area of a triangle = 2 ×base ×height
area of a circle = ×radius2
circumf erence of a circle = 2×radius
length of an arc = 360 ×2×radius
2
area of an sector = 360 × ×(radius)

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×height
1
volume of a pyramid = 3 ×base area×height
4
volume of a sphere = 3 × ×radius3
T SA of a sphere = 4 ×radius2
T SA of a hemisphere = 3 ×radius2
Angles formed from two points on the circumference are
equal to other angles, in the same arc, formed from those two
points.
Angles formed by drawing lines from the ends of the
diameter of a circle to its circumference form a right angle. So is a right angle.…read more

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A tangent to a circle forms a right angle with the circle's radius, at the point of
contact of the tangent.
Also, if two tangents are drawn on a circle and they cross, the lengths of the two
tangents (from the point where they touch the circle to the point where they
cross) will be the same.…read more

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The angle formed at the centre of the circle by lines originating from two points
on the circle's circumference is double the angle formed on the circumference of
the circle by lines originating from the same points. i.e. a = 2b.
The opposite angles in a cyclic quadrilateral are supplementary.…read more

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×b = ab
a
a
b
= b
opposite
sin = hypotenuse
adjacent
cos = hypotenuse
opposite
tan = adjacent
A
Opposite(c) Hypotenuse (b)
B Adjacent (a) C
a = sinb c
sin A B = sin C
a2 = b2 + c2 - 2bccos A
b2+c2-a2
cos A = 2bc
1
area of a triangle = 2 ×b×c×sin A
sin = sin (180° - )…read more

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° - )
sin = cos (90° - )
cos = sin (90° - )…read more

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