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Area of Circle

TopIn Geometry, we study different type of shapes & terms associated with them. We know that there are some plane and some solid shapes. In plane figures some shapes may be rectilinear or curved. Rectilinear shapes are made up of line segments only; the curved shapes may only be curved or may be a Combination of curves & line segments.

If we talk about Circle then it is an example of a curved shape. A circle is a curved closed figure drawn by joining infinite number of points which are equidistant from a fixed Point. Example, the shapes of bangle, the sun, etc.

Let’s know about some terms associated with circle.

Centre: The fixed point from where every point is equidistant on the circle is called the Centre of the circle and is generally denoted by O.

Radius: It is the distance from the centre to any point on the circle. Since all the points on the circle are equidistant from the centre, the radius is same irrespective of the point taken on the circle. It is denoted by r.

Area of Circle

Now, let us try to understand what is area of circle? As we know that every closed figure encloses some region in it. This enclosed region together with the boundary of the figure is called the area and is measured in terms of the number of squares of 1 unit each that can be fixed in the respective figure. So, the area of a circle is the region that a circle encloses in it together with the boundary of the circle. Since the circle is completely curved figure, we can’t divide it into exact number of squares of one unit each. Therefore, to find area of Circles, a new concept of pi( π ) has been introduced whose value is fixed. Generally we take value of pi as $\frac{22}{7}$ or 3.14 and this value is used to find area of circles.