Area of 2D Shapes Formula

Area of 2D shapes formulas is the formula that are used to fond the area of the various 2D shapes, such as area of triangle, area of square, area of rectangle, area of rhombus, etc. These area formulas are highly used in mathematics to solve various geometrical problems. Various area formulas for various shapes are,

Area Formula of a Rectangle

Rectangle is a 2-Dimensional figure which is a quadrilateral, i.e. it has four sides its opposite sides are parallel and equal. All the angles in the rectangle are equal and their measure is 90 degrees. The diagonals of the rectangle are equal and they are perpendicular bisectors of each other.

The formula for calculating the area of a rectangle is with length and l and breadth b is,

• Area of Rectangle (A) = l×b square units

Area Formula of a Square

Square is a 2-Dimensional figure which is a quadrilateral, i.e. it has four sides its opposite sides are parallel and all four sides in a square are equal. All the angles in the square are equal and their measure is 90 degrees. The diagonals of the square are equal and they are perpendicular bisectors of each other.

The formula for calculating the area of a square with side a is,

• Area of Square (A) = a² sq. units

Area Formula of a Triangle

Triangle is the simplest polygon which is made by joining three straight lines. As the name suggests it is a polygon with three angles. The sum of the lengths of all sides of the triangle is the perimeter of the triangle and the space inside the perimeter of the triangle is the area of the triangle.

The formula for calculating the area of a triangle with base b is and height h is,

• Area of Triangle (A) = 1/2 × bh sq. units

Area Formula of a Circle

Circle is a geometrical figure with no straight line. It is the locus of the point that is always at a constant distance from the fixed point. The fixed point is called the center of the circle and the fixed distance is the radius of the circle.

The formula for calculating the area of a circle with r as the radius of the circle is,

• Area of Circle (A) = πr² sq. units

Area Formula of a Parallelogram

Parallelogram is a 2-D figure in which the opposite sides are parallel and equal. The formula for calculating the area of parallelogram with base b and height h are,

• Area of Parallelogram (A) = bh sq. units

Area Formula of a Rhombus

Rhombus is a quadrilateral with all four sides equal and parallel but not all angles are equal. The formula for calculating the area of rhombus with diagonal d₁ and d₂ are,

• Area of Rhombus (A) = 1/2 × d₁ × d₂ sq. units

Area Formula of a Trapezoid

Trapezoid is another name of trapezium. It is a quadrilateral in which the opposite sides are parallel. The formula for calculating the area of trapezoid with parallel sides a and b and height h is,

• Area of Trapezoid (A) = 1/2(a +b)h sq. units

Area Formula of a Ellipse

Ellipse is a 2-D shape and comes under conic sections. The formula for calculating the area of a ellipse with axis as a and b are,

• Area of Ellipse (A) = πab sq. units

Area Formula of a Semicircle

Semicircle is a 2-D figure which is half of circle. The formula to calculate the area of semicircle with radius r is,

• Area of Semicircle (A) = 1/4(πr²) sq. units

Area Formulas for various objects are the formulas that are used to find the area of various object. Area is the space occupied by the boundary of any figure. Area formulas of various geometric shapes are dependent on various parameters, such as dimensions, height, and radius of various geometric shapes. Geometric shapes are of two types that are:

• Two-Dimensional Shapes (2-D Shapes)
• Three-Dimensional Shapes (3-D Shapes)

In this article we will be learning about, area formulas for various 2-D and 3-D shapes such as area of rectangle, area of square, area of circle, area of of cube, etc. and others in detail.