Geometric Formulae

Question 1

What equation is used to calculate the lengths of a right angle triangle?

Answer 1

Pythagorean theorem - a²+b²=c²

Question 2

What do the letters in the Pythagorean theorem represent?

Answer 2

a = length of opposite side of triangle
b = length of adjacent side of triangle
c = length of hypotenuse of triangle

Question 3

What is a hypotenuse?

Answer 3

The hypotenuse is the longest side of a right angle triangle

Question 4

What is the equation for calculating the area of a triangle?

Answer 4

Area = (base x height) /2

Also expressed as: 1/2 x (base x height)

Question 5

What is the equation for calculating the area of a parallelogram?

Answer 5

area=base x height

Question 6

What is the equation for calculating the area of a trapezium?

Answer 6

area= 1/2(a+b) x height

(a + b are the top and bottom sides)

Question 7

How do you calculate the circumference of a circle?

Answer 7

c= πd (π x diameter) OR 2 x πr (radius)

Pi button is on calculator

Question 8

How do you calculate the area of a circle?

Answer 8

a= πr²
(π x r x r)

Question 9

How do you calculate the volume of a cuboid?

Answer 9

volume= length x width x height

Question 10

How do you calculate the volume of a prism?

Answer 10

v= cross sectional area x length

e.g. for cylinder you would do πr

Question 11

How do you calculate the volume of a cylinder?

Answer 11

V=πr²h

(π x radius x radius x height)

Question 12

How do you calculate the interior angle of a regular polygon

Answer 12

(Number of sides - 2) x 180 / Number of sides

E.g (3-1) x 180/ 3 -> equalateral triangle all angles are 90