# Area of Circle Assignment Help

**Introduction to the unit**

A circle has no line segments, because the area of a circle is the area normally occupied by a circle in two planes of related dimensions, and the user can easily find the area of a circle using the formula 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},

**π**which is the Greek letter that usually represents the constant ratio of the circumference of n' any circle. with its diameter, and is approximately equal to its value 3.1 16. A method to efficiently compute the key formula comes mainly from Archimedes, which mainly consists of rendering efficient circles as constraining the sequence of linked polygons. The word circle is mainly derived from the Greek word Kirkos that means hoop, and ring. A circle is mainly the collection of all points in the plane whose distance from a fixed point is always similar. The fixed point is called the center of the circle, and the boundary of the circle is called the circumference of a circle.

The area of a regular polygon is half its circumference multiplied by the distances from the center to all its principal sides and is the circumference of the circle. The area of a regular polygon is half its circumference with prime-time apothem and as the number of sides of a regular polygon increase, the polygon tends towards the circle and the apothem tends towards the radius. Any given type of geometric shape usually has its area and this region is called a specific region occupied by shape in 2D plane and area of circle covered by a cycle complete by the radius of the circle. in the 2D plane.

**Radius, and Diameter of Circle**

The radius of the circle is the line segment joining the center, and any point on the related circumference. The diameter of the circle is the line segment which mainly starts from any point on the circumference of a circle that generally passes through the center, and the ending point on the related circumference for the opposite sides of the circle as the length of the diameter is twice the length of the radius.

**Area of Circle**

The area of a circle is mainly defined as by the space, or region that is generally occupied by a circle in the two-dimensional plane. A constant term that is **π** is generally used in the formula of area of a circle, as **π is known as the Archimedes’ constant, and one effective way to define π that it is the ratio of the circumference of a circle to its related diameter, and π is an **irrational number whose value is 3.1415, and for commonly used, the value of **π is generally taken as 3.14, and it is also taken as 22/7 while using the fraction to ease the calculation. **

**Derivation of Area of Circle**

**Several techniques are generally available to effectively derive the area of a circle, and the most popular techniques are effectively used as**

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**Through using**the area of a rectangle, and- Through using the area of the triangle.

Calculus is also used to generally derive the area of a circle. The techniques which are generally used for deriving the area of a circle are mainly as follows:

__Through using area of a rectangle: __The circle is generally divided into several sectors, and the parallelogram would again turn into a rectangle as while observing in the figure of the circle, the circle is divided into 16 sectors, in which 8 parts of circles are colored with separate, for this, we required to consider the circumference of a circle, that is 2**πr**, and the total length of the base of the parallelogram would be **πr, and its height would be r. **So, the area of the rectangle is length*base= **πr*r= πr ^{2. }The rectangle generally consists of the area of the sectors of the circle, so, the area is πr**

^{2. }

Through using the Area of a Triangle: In this particular type method, the entire relevant area of the circle is effectively get considered as consisting of an infinite number of a concentric circle, and if the circle would cut as along with the radius, and all belong to infinite many lines, then, this would be effectively arranged in the form of a right-angled triangle, or either in the form of an isosceles triangle, then, after this, a right-angled triangle or an isosceles triangle is obtained with this whose base is 2 **πr, and the height is r.**

**Finding the area of a circle with a radius?**

If the radius of the circle is given, then finding the area of the circle would become so simpler, as for this, the user simply needs to do the square of the radius, and after this multiplying this with the value of pi sign as either the vale of pi would be 22/7, or 3.14

**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.