The area of a square is equal to the length of one side squared.
How to find the area of a square?
Area of a square = s2
A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square.
Area of rectangle = length × width
A = lw
A parallelogram is a 4-sided polygon that has two sets of parallel sides. The opposite sides of a parallelogram are of equal length and the opposites angles are equal.
Area of parallelogram = base × perpendicular height
How to find the area of a rectangle, triangle and parallelogram, using base and height? Always use the height that is perpendicular to the base. Do not use the slant height.
A = bh
A trapeziod or trapezium is a 4-sided polygon that has at least one pair of parallel side. It is called a trapezoid in North America and a trapezium in Britain and other countries.
Area of trapezium = × (sum of two parallel sides) × height
How to find the area of a trapezoid?
A = × (a + b) × h
A triangle is a 3-sided polygon.
Area of triangle = × Base × Height
The following video shows an example of using the formula of half the product of the base and height to calculate the area of a triangle.
A = bh
How to find the area of a triangle given side-angle-side (SAS)?
Area of triangle = ab sin C
Area of triangle =
This is also called the Heron's FormulaHow to find the area of a triangle given the 3 sides? The following video shows how to use the Heron's Formula.
To find the area of an equilateral triangle, we can use the following formula:
The area of an equilateral triangle (with all sides congruent) is equal to
where s is the length of any side of the triangle
A rhombus is a 4-sided polygon that has 4 equal sides. The diagonals of a rhombus bisects each other at right angles.
Area of rhombus = product of diagonals
Area of rhombus = a2 sin c where a is the length of the side and c is any interior angle.
(You can use any interior angle because either they are equal or they are supplementary and supplementary angles have the same sine.)
A kite is a 4-sided polygon that has two distinct pairs of adjacent sides that are congruent.. The diagonals of a kite bisects each other at right angles.
Area of a kite uses the same formula as the area of a rhombus
Area of kite = product of diagonals
A regular polygon is a polygon where all the sides are the same length and all the angles are equal.
The apothem of a regular polygon is a line segment from the centre of the polygon to the midpoint of one of its sides.
Area of regular polygon = where p is the perimeter and a is the apothem.How to find the area of a regular polygon, given the apothem and the length of the side?
A circles is a shape consisting of those points in a plane which are at a constant distance, called the radius, from a fixed point, called the center.
Area of circle = × (radius)2
A = r2How to find the area of a circle given the radius or diameter?
An ellipse is a curved line forming a closed loop, where the sum of the distances from two points (foci) to every point on the line is constant. It looks like a circle that has bee squashed into an oval.
If 2a and 2b are the lengths of the major and minor axes of the ellipse, then the area of the ellipse is πab.
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