# Area of Circle Assignment Help

**Introduction to the area of a circle**

Unlike squares, and rectangles, the circles do not have any straight lines, the area of the circle is the region that is occupied by the circle in the two-dimensional plane, and it could be easily determined with effectively using a formula that is A= **πr ^{2}**, (Pi r-squared), at where, r is the radius of the circle, and the unit of the area is the square unit like as m

^{2, }cm

^{2}, etc., The formula of area of a circle is so useful and effective for measuring the space that is mainly occupied by a circular field, and plot for fencing it as a circle is a two-dimensional figured shape so it doesn’t have volume, it has only the area, and the perimeter.

**What is a circle?**

A circle is the closed plane geometric figured shape. It is a locus of a point moving around a fixed point at the fixed distance that is away from the point, a circle is mainly a closed figure with having its outer lining as equidistant from the center point, and the fixed distance that is from the point is mainly the radius of the circle.

**Radius of circle**

The radius of the circle is the line that joins the center of the circle to its outer boundary, and it is generally represented by ‘r’, and ‘R’, and both in the formula for the area, and the circumference of a circle, the radius effectively plays a most significant role.

**Diameter of circle**

The diameter of the circle is the line that mainly divides the circle into two equal parts, and it is double the radius, and it is effectively represented by ‘d’. or ‘D’. So, D=2R, and the radius of the circle is R=D/2.

**Circumference of Circle**

A perimeter of the closed figures is generally defined as the length of its boundary, and the perimeter is mainly the circumference of a circle, and this circumference is generally known as the length of the boundary of the circle, and if the user opens the circle to form the straight line, then, in this case, the length of the straight line is mainly the circumference of the circle.

The perimeter of the circle is equal to the length of the boundary of the circle, and the length of the rope wraps around the boundary of the circle which is perfect to the circumference of the circle which could be effectively get measured by using the formula of the circle.

**Area of Circle**

The area of the circle is the region that is generally either covered, or enclosed as within the boundary of the circle, and it is measured in the square units. Any of the geometrical areas has its area, and this particular area is the region that occupies the shape in the two-dimensional plane The particular area is mainly covered through one complete cycle of the radius of a circle on a two dimensional-plane which is mainly the area of the circle. The particular area covered by one complete cycle of the radius of the circle on a two-dimensional plane is mainly the area of that particular circle.

**The formula of Area of Circle**

The formula of the area of a circle is A= **πr ^{2}**, (Pi r-squared), at where, r is the radius of the circle, and the unit of the area is the square unit like as m

^{2, }cm

^{2}, etc., the radius is from the center of the circle that is “O” to the boundary of the circle, and after that A is equal to the product if pi, and the square of the radius. The value of pi is 22/7. Or 33.4 in the formula of area of a circle.

**The surface area of a circle**

A circle is a 2-D representation of the sphere shape, and the total area is generally taken as inside the boundary of the circle in the surface area of the circle that is the surface area of the circle, during several times, the volume of the circle also defines as the area of a circle.

**Difference between square area, and circle area**

The area of a circle is generally estimated to be 80 percent of the area of a square, and while the diameter of the circle as well as the length of the side of the square is the similar.

**Derivation of the area of a circle**

The Area of the circle could be effectively get visualized as well as get proved through using several methods that are mainly as follows:

Determining the area of the circle through using rectangles: The circle is generally divided into 16 equal sectors, and the area of the circle would be equal to the parallelogram-shaped figure formed through the sectors that cut out from the circle, and all such cuts having equal areas, and each sector have an equal arc length. If the number of the circle that cuts out from the circle would be increased then, the parallelogram would effectively look as like the rectangle with having equal length for

Determining the area through using triangles: Filling circumference of the circle, and its height would be equal to the radius of the circles with the radius r as with the concentric circles, as after cutting circles as along with the indicated lines, and effectively spreading the lines so the result with this would be a triangle, and the base of the triangle will be equal to to the circle, and its height would be equal to the radius of the circle.