The circle is a closed plane geometric shape and in technical terms, it is the locus of a point that moves around the fixed point at a fixed distance away from that particular point. Hence, the circle can be considered as a closed curve that has the outer line equidistant from the center and the fixed distance from the point to the outer lining is the radius of the circle. In real life, the circle has a very important role because it comes into different kinds of forms, for example, a circular ground, wheels of the car, pizza, and various other kinds of things. Following are some of the very basic terms associated with the area of circle which the students need to be clear about so that they can indulge in the right kind of calculations all the time:
- The radius of the circle: The radius of the circle will be the line that will join the center to the outer boundary of the circle and this is normally represented by the alphabet R. Radius has a lot of relevance in both the formulas of the area as well as the circumference of the circle.
- The diameter of the circle: Diameter is the line that will help in dividing the circle into two equal parts and diameter can be simply considered as the double of radius.
The area of a circle and area of semicircle: Any kind of shape will have its area and the area will be the region occupied by that particular shape into the two-dimensional plane. The area covered by a complete circle of the radius of a particular circle in the two-dimensional plane will be the area of the circle. So, for calculating the area of circle people need to depend upon a comprehensive formula which has been explained as follows:
The area of a circle is equal to pi into radius square
Pi will be considered as 22/ 7 or 3.142
The derivation of the area of the circle has been undertaken with two basic shapes which are through the rectangle and the triangle. Both of these derivations are explained as follows:
- With the help of a rectangle: The circle will be divided into 16 equal sectors and every sector will be arranged into the shape of a parallelogram. The sectors will be alternatively colored with red and blue colors in the red colour sector will contribute to the half of the circumference while the blue colour will be contributing towards the other half. If the number of sectors got from the circle will be increased then the parallelogram will normally look like a rectangle with the length equal to pi into r and breadth equal to r. So, the area of the circle can be very easily derived with this particular shape.
- With the help of triangle: In the cases of triangle-based area derivation the circle has to be filled with a radius r with concentric circles and after cutting the circle along the indicated lines it can be spread into a triangle perfectly. The base of the triangle will be equal to the circumference of the circle and the height will be equal to the radius of the circle which will very well make sure that area of the circle will be derived very easily.
Apart from this the surface area of the circle will be the total area that has been taken inside the boundary of the circle. When any of the individuals want that they take the area of the circle then they will mean the surface area only. In some of the cases, the volume of the circle will also define the area of the circle. Hence, to get aware of all these kinds of concepts it is very much important for the parents to enroll their children on platforms like cuemath.com so that they are aware of the formulas of the area of the semi-circle, areas of circle and several other kinds of things without any kind of query in their minds.
