S1

Angles:
The total of all exterior angles on any polygon is 360°.
Therefore, it can be said that in a regular polygon, each exterior angle = 360/n where n is the number of sides.
There are 180° on a straight line.
Therefore the general formula to work out each angle in a regular polygon is 180° - 360/n.

Example:
Nonagon = 180° - 360 ÷ 9 = 140°

The formula to work out the total of the interior angles is 180(n-2) where n is the number of sides.

Right Angled Triangles:
﻿
﻿According to the Greek mathematician, Pythagoras, there is a general formula to work out the length of the longest side of a right angled triangle, opposite the right angle.
﻿If a and b are the other sides and c is the hypotenuse, the following is true:
﻿a² + b² = c²
﻿Therefore c = sqrt (﻿a² + b²)
﻿
Example:
﻿5² + 12² = 13²

2 Dimensional Shapes - Area and Perimeter Formulae:
Circle:
Area:
$\fn_cm \bg_white \300dpi \inline \pi r^{2}$
Perimeter:
$\fn_cm \bg_white \300dpi \inline 2\pi r^{2}$
Triangle:
Area:
$\fn_cm \bg_white \300dpi \inline \frac{bh}{2}$
Rectangle:
Area:
$\fn_cm \bg_white \300dpi \inline lw$
Perimeter:
$\fn_cm \bg_white \300dpi \inline 2(l+w)$
Trapezium:
Area:
$\fn_cm \bg_white \300dpi \inline \frac{\sum(parallel)(perp.height)}{2}$
Parallelogram:
Area:
$\fn_cm \bg_white \300dpi \inline bh$
Perimeter:
$\fn_cm \bg_white \300dpi \inline 2(l+w)$
Kite:
Area:
$\fn_cm \bg_white \300dpi \inline \frac{bh}{2}$
3 Dimensional Shapes - Volume and Surface Area:
Sphere:
Volume: $\fn_cm \bg_white \300dpi \inline \frac{4}{3}\pi r^{2}$

Surface Area:
$\fn_cm \bg_white \300dpi \inline 4\pi r^{2}$

Cylinder:
Volume:
$\fn_cm \bg_white \300dpi \inline \pi r^{2}h$
Surface Area:
$\fn_cm \bg_white \300dpi \inline 2\pi r(r+h)$
﻿Cone:
﻿Volume:
$\fn_cm \bg_white \300dpi \inline 0.5\pi rh$
﻿Surface Area:
$\fn_cm \bg_white \300dpi \inline \pi r(r+h)$﻿
﻿Square Based Pyramid:
﻿Volume:
$\fn_cm \bg_white \300dpi \inline \frac{1}{3}b^{2}h$
Surface Area:
$\fn_cm \bg_white \300dpi \inline b(b+2(slant))$
Cube:
Volume:
$\fn_cm \bg_white \300dpi \inline x^{3}$
Surface Area:
$\fn_cm \bg_white \300dpi \inline 6x^{2}$
Cuboid:
Volume:
$\fn_cm \bg_white \300dpi \inline lwh$
Surface Area:
$\fn_cm \bg_white \300dpi \inline 2(l(h+w)+hw)$
BY MUHAMMED