## Parallelogram (Definition, Shape, Diagonals, Properties, Types, Perimeter, Area, Theorems)

Parallelogram Definition The parallelograms may be defined as the quadrilaterals having two pairs of parallel sides and the sides which are opposite to each other are of equal length. The opposite angles of a parallelogram are also equal. The sum of all the interior angles of a parallelogram is . Parallelogram Shape The parallelogram is … Read more

## Equation of a Circle

Equation of a Circle Introduction The circle is a two-dimensional plane shape in which all the points are placed at a fixed distance from a fixed point called the centre. Since all the points are placed at a fixed distance, a circle can be mathematically represented by using equations. Therefore, the equation that describes a … Read more

## Area of a Circle

The space occupied by a circle in a plane is called the area of the circle. The formula to find out the area enclosed by a circle is as follows.

## Semicircles

Definition of Semicircles When a circle is cut into two equal sections by its diameter, then the resulting two sections are called the Semicircles of the circle. As shown in the figure below, the diameter of the circle is . If the circle is cut by its diameter at the points and , then the … Read more

## Circumference of a Circle | Perimeter of a Circle

What is the Circumference of a Circle? The length of a complete circle is called the Circumference of the circle. Physical Meaning of Circumference of a Circle The figure shows the representation of a Circle. As shown in the figure, if we cut the circle at point , and stretch the circle to form a … Read more

## Arc of a Circle

What is an Arc of a Circle? The length of a complete circle is the circumference of the circle. Now, if we take a section of the circumference, then the section may be called the Arc of the Circle. Also, the section of a circle that is formed by cutting at any two points are … Read more

## Diameter of a Circle

Definition of Diameter of a Circle The Diameter of a Circle may be defined as the longest chord that passes through the Centre of the circle. For a given circle, an infinite number of Diameters can be drawn. Therefore, for a line segment to be a Diameter of a circle, the following two conditions must … Read more

## Circle

Definition of a Circle The Circle is a collection of all the points in a plane, which are at a fixed distance from a fixed point in the same plane. Euclid’s Definition of Circle A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain … Read more